Skip to main content
SpringerLink
Log in

On the cubic interactions of massive and partially-massless higher spins in (A)dS

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency condition for the traceless and transverse parts of the parity-invariant interactions is recast into a system of partial differential equations. The latter can be explicitly solved for given s 1 − s 2 − s 3 couplings and the 2 − 2 − 2 and 3 − 3 − 2 examples are provided in detail for general choices of the masses. On the other hand, the general solutions for the interactions involving massive and massless fields are expressed in a compact form as generating functions of all the consistent couplings. The Stückelberg formulation of the cubic interactions as well as their massless limits are also analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Argurio, G. Barnich, G. Bonelli and M. Grigoriev eds., Higher-Spin Gauge Theories, in proceedings of First Solvay Workshop, Brussels, 12-14 May 2004, International Solvay Institutes for Physics and Chemistry (2006) [http://www.ulb.ac.be/sciences/ptm/pmif/Solvay1proc.pdf].

  2. M. Bianchi and V. Didenko, Massive higher spin multiplets and holography, hep-th/0502220 [INSPIRE].

  3. D. Francia and C. Hull, Higher-spin gauge fields and duality, hep-th/0501236 [INSPIRE].

  4. N. Bouatta, G. Compere and A. Sagnotti, An Introduction to free higher-spin fields, hep-th/0409068 [INSPIRE].

  5. X. Bekaert, S. Cnockaert, C. Iazeolla and M. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128 [INSPIRE].

  6. A. Sagnotti, E. Sezgin and P. Sundell, On higher spins with a strong Sp(2,R) condition, hep-th/0501156 [INSPIRE].

  7. D. Sorokin, Introduction to the classical theory of higher spins, AIP Conf. Proc. 767 (2005) 172 [hep-th/0405069] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. D. Francia and A. Sagnotti, Higher-spin geometry and string theory, J. Phys. Conf. Ser. 33 (2006) 57 [hep-th/0601199] [INSPIRE].

    Article  ADS  Google Scholar 

  9. X. Bekaert, N. Boulanger and P. Sundell, How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples, arXiv:1007.0435 [INSPIRE].

  10. A. Sagnotti, Notes on Strings and Higher Spins, arXiv:1112.4285 [INSPIRE].

  11. C. Aragone and S. Deser, Consistency Problems of Hypergravity, Phys. Lett. B 86 (1979) 161 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  12. E. Fradkin and M.A. Vasiliev, Cubic Interaction in Extended Theories of Massless Higher Spin Fields, Nucl. Phys. B 291 (1987) 141 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. E. Fradkin and M.A. Vasiliev, On the Gravitational Interaction of Massless Higher Spin Fields, Phys. Lett. B 189 (1987) 89 [INSPIRE].

    ADS  Google Scholar 

  14. Y. Zinoviev, On massive spin 2 electromagnetic interactions, Nucl. Phys. B 821 (2009) 431 [arXiv:0901.3462] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. Y. Zinoviev, On spin 3 interacting with gravity, Class. Quant. Grav. 26 (2009) 035022 [arXiv:0805.2226] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  16. M.A. Vasiliev, Consistent equations for interacting massless fields of all spins in the first order in curvatures, Annals Phys. 190 (1989) 59 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. M. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d), Phys. Lett. B 567 (2003) 139 [hep-th/0304049] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  18. M. Fierz, Force-free particles with any spin, Helv. Phys. Acta 12 (1939) 3 [INSPIRE].

    Article  Google Scholar 

  19. L. Singh and C. Hagen, Lagrangian formulation for arbitrary spin. 1. The boson case, Phys. Rev. D 9 (1974) 898 [INSPIRE].

    ADS  Google Scholar 

  20. L. Singh and C. Hagen, Lagrangian formulation for arbitrary spin. 2. The fermion case, Phys. Rev. D 9 (1974) 910 [INSPIRE].

    ADS  Google Scholar 

  21. Y. Zinoviev, On massive high spin particles in AdS, hep-th/0108192 [INSPIRE].

  22. T. Biswas and W. Siegel, Radial dimensional reduction: Anti-de Sitter theories from flat, JHEP 07 (2002) 005 [hep-th/0203115] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. R. Metsaev, Massive totally symmetric fields in AdS(d), Phys. Lett. B 590 (2004) 95 [hep-th/0312297] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  24. K. Hallowell and A. Waldron, Constant curvature algebras and higher spin action generating functions, Nucl. Phys. B 724 (2005) 453 [hep-th/0505255] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. I. Buchbinder and V. Krykhtin, Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimensions, Nucl. Phys. B 727 (2005) 537 [hep-th/0505092] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. A. Fotopoulos, K.L. Panigrahi and M. Tsulaia, Lagrangian formulation of higher spin theories on AdS space, Phys. Rev. D 74 (2006) 085029 [hep-th/0607248] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  27. I. Buchbinder, V. Krykhtin, L. Ryskina and H. Takata, Gauge invariant Lagrangian construction for massive higher spin fermionic fields, Phys. Lett. B 641 (2006) 386 [hep-th/0603212] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  28. I. Buchbinder, V. Krykhtin and P. Lavrov, Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space, Nucl. Phys. B 762 (2007) 344 [hep-th/0608005] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. I. Buchbinder, V. Krykhtin and H. Takata, Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields, Phys. Lett. B 656 (2007) 253 [arXiv:0707.2181] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  30. P.A. Horvathy, M.S. Plyushchay and M. Valenzuela, Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields, Phys. Rev. D 77 (2008) 025017 [arXiv:0710.1394] [INSPIRE].

    ADS  Google Scholar 

  31. D. Francia, Geometric Lagrangians for massive higher-spin fields, Nucl. Phys. B 796 (2008) 77 [arXiv:0710.5378] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. D. Francia, Geometric massive higher spins and current exchanges, Fortsch. Phys. 56 (2008) 800 [arXiv:0804.2857] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. I. Buchbinder and A. Galajinsky, Quartet unconstrained formulation for massive higher spin fields, JHEP 11 (2008) 081 [arXiv:0810.2852] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. Y. Zinoviev, Frame-like gauge invariant formulation for massive high spin particles, Nucl. Phys. B 808 (2009) 185 [arXiv:0808.1778] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  35. R. Metsaev, CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS, Phys. Lett. B 682 (2010) 455 [arXiv:0907.2207] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  36. X. Bekaert, M. Rausch de Traubenberg and M. Valenzuela, An infinite supermultiplet of massive higher-spin fields, JHEP 05 (2009) 118 [arXiv:0904.2533] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  37. D. Ponomarev and M. Vasiliev, Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields, Nucl. Phys. B 839 (2010) 466 [arXiv:1001.0062] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. M. Grigoriev and A. Waldron, Massive Higher Spins from BRST and Tractors, Nucl. Phys. B 853 (2011) 291 [arXiv:1104.4994] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  39. R. Metsaev, Anomalous conformal currents, shadow fields and massive AdS fields, arXiv:1110.3749 [INSPIRE].

  40. R. Metsaev, Extended Hamiltonian Action for Arbitrary Spin Fields in Flat And AdS Spaces, arXiv:1112.0976 [INSPIRE].

  41. S. Deser and R.I. Nepomechie, Gauge invariance versus masslessness in de Sitter space, Annals Phys. 154 (1984) 396 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  42. S. Deser and R.I. Nepomechie, Anomalous propagation of gauge fields in conformally flat spaces, Phys. Lett. B 132 (1983) 321 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  43. A. Higuchi, Forbidden mass range for spin-2 field theory in de Sitter space-time, Nucl. Phys. B 282 (1987) 397 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  44. A. Higuchi, Symmetric tensor spherical harmonics on the N sphere and their application to the de Sitter group SO(N, 1), J. Math. Phys. 28 (1987) 1553 [Erratum ibid. 43 (2002) 6385] [INSPIRE].

  45. A. Higuchi, Massive symmetric tensor field in space-times with a positive cosmological constant, Nucl. Phys. B 325 (1989) 745 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  46. S. Deser and A. Waldron, Gauge invariances and phases of massive higher spins in (A)dS, Phys. Rev. Lett. 87 (2001) 031601 [hep-th/0102166] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  47. S. Deser and A. Waldron, Stability of massive cosmological gravitons, Phys. Lett. B 508 (2001) 347 [hep-th/0103255] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  48. S. Deser and A. Waldron, Partial masslessness of higher spins in (A)dS, Nucl. Phys. B 607 (2001) 577 [hep-th/0103198] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  49. S. Deser and A. Waldron, (Dis)continuities of massless limits in spin 3/2 mediated interactions and cosmological supergravity, Phys. Lett. B 501 (2001) 134 [hep-th/0012014] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  50. S. Deser and A. Waldron, Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations, Phys. Lett. B 513 (2001) 137 [hep-th/0105181] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  51. S. Deser and A. Waldron, Arbitrary spin representations in de Sitter from dS/CFT with applications to dS supergravity, Nucl. Phys. B 662 (2003) 379 [hep-th/0301068] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  52. E. Skvortsov and M. Vasiliev, Geometric formulation for partially massless fields, Nucl. Phys. B 756 (2006) 117 [hep-th/0601095] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  53. D. Francia, J. Mourad and A. Sagnotti, (A)dS exchanges and partially-massless higher spins, Nucl. Phys. B 804 (2008) 383 [arXiv:0803.3832] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  54. A. Gover, A. Shaukat and A. Waldron, Weyl Invariance and the Origins of Mass, Phys. Lett. B 675 (2009) 93 [arXiv:0812.3364] [INSPIRE].

    ADS  Google Scholar 

  55. K.B. Alkalaev and M. Grigoriev, Unified BRST description of AdS gauge fields, Nucl. Phys. B 835 (2010) 197 [arXiv:0910.2690] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  56. K. Alkalaev and M. Grigoriev, Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type, Nucl. Phys. B 853 (2011) 663 [arXiv:1105.6111] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  57. M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. Lond. A 173 (1939) 211 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  58. G. Velo and D. Zwanziger, Propagation and quantization of Rarita-Schwinger waves in an external electromagnetic potential, Phys. Rev. 186 (1969) 1337 [INSPIRE].

    Article  ADS  Google Scholar 

  59. G. Velo and D. Zwanziger, Noncausality and other defects of interaction lagrangians for particles with spin one and higher, Phys. Rev. 188 (1969) 2218 [INSPIRE].

    Article  ADS  Google Scholar 

  60. G. Velo, Anomalous behaviour of a massive spin two charged particle in an external electromagnetic field, Nucl. Phys. B 43 (1972) 389 [INSPIRE].

    Article  ADS  Google Scholar 

  61. M. Porrati, Massive spin 5/2 fields coupled to gravity: Tree level unitarity versus the equivalence principle, Phys. Lett. B 304 (1993) 77 [gr-qc/9301012] [INSPIRE].

    ADS  Google Scholar 

  62. R. Doria, J. Helayel-Neto and S. Mokhtari, The Minimal coupling of charged spin 3/2 fields to an extended Abelian gauge model, Commun. Theor. Phys. 21 (1994) 121 [INSPIRE].

    Google Scholar 

  63. A. Cucchieri, M. Porrati and S. Deser, Tree level unitarity constraints on the gravitational couplings of higher spin massive fields, Phys. Rev. D 51 (1995) 4543 [hep-th/9408073] [INSPIRE].

    ADS  Google Scholar 

  64. I. Giannakis, J.T. Liu and M. Porrati, Massive higher spin states in string theory and the principle of equivalence, Phys. Rev. D 59 (1999) 104013 [hep-th/9809142] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  65. S. Klishevich, Massive fields of arbitrary half integer spin in constant electromagnetic field, Int. J. Mod. Phys. A 15 (2000) 609 [hep-th/9811030] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  66. S. Deser, V. Pascalutsa and A. Waldron, Massive spin 3/2 electrodynamics, Phys. Rev. D 62 (2000) 105031 [hep-th/0003011] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  67. S. Deser and A. Waldron, Inconsistencies of massive charged gravitating higher spins, Nucl. Phys. B 631 (2002) 369 [hep-th/0112182] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  68. M. Porrati and R. Rahman, Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to Electromagnetism, Nucl. Phys. B 801 (2008) 174 [arXiv:0801.2581] [INSPIRE].

    Article  ADS  Google Scholar 

  69. M. Porrati, Universal Limits on Massless High-Spin Particles, Phys. Rev. D 78 (2008) 065016 [arXiv:0804.4672] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  70. M. Porrati and R. Rahman, A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields, Nucl. Phys. B 814 (2009) 370 [arXiv:0812.4254] [INSPIRE].

    Article  ADS  Google Scholar 

  71. M. Porrati and R. Rahman, Causal Propagation of a Charged Spin 3/2 Field in an External Electromagnetic Background, Phys. Rev. D 80 (2009) 025009 [arXiv:0906.1432] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  72. Y. Zinoviev, On electromagnetic interactions for massive mixed symmetry field, JHEP 03 (2011) 082 [arXiv:1012.2706] [INSPIRE].

    Article  ADS  Google Scholar 

  73. Y. Zinoviev, Gravitational cubic interactions for a massive mixed symmetry gauge field, Class. Quant. Grav. 29 (2012) 015013 [arXiv:1107.3222] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  74. R. Rahman, Helicity-1/2 Mode as a Probe of Interactions of Massive Rarita-Schwinger Field, arXiv:1111.3366 [INSPIRE].

  75. S. Deser and A. Waldron, Partially Massless Spin 2 Electrodynamics, Phys. Rev. D 74 (2006) 084036 [hep-th/0609113] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  76. P.C. Argyres and C.R. Nappi, Massive spin-2 bosonic string states in an electromagnetic background, Phys. Lett. B 224 (1989) 89 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  77. M. Porrati and R. Rahman, Notes on a Cure for Higher-Spin Acausality, Phys. Rev. D 84 (2011) 045013 [arXiv:1103.6027] [INSPIRE].

    ADS  Google Scholar 

  78. M. Porrati, R. Rahman and A. Sagnotti, String Theory and The Velo-Zwanziger Problem, Nucl. Phys. B 846 (2011) 250 [arXiv:1011.6411] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  79. M. Taronna, Higher Spins and String Interactions, arXiv:1005.3061 [INSPIRE].

  80. A. Sagnotti and M. Taronna, String Lessons for Higher-Spin Interactions, Nucl. Phys. B 842 (2011) 299 [arXiv:1006.5242] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  81. M. Bianchi, L. Lopez and R. Richter, On stable higher spin states in Heterotic String Theories, JHEP 03 (2011) 051 [arXiv:1010.1177] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  82. D. Polyakov, Higher Spins and Open Strings: Quartic Interactions, Phys. Rev. D 83 (2011) 046005 [arXiv:1011.0353] [INSPIRE].

    ADS  Google Scholar 

  83. O. Schlotterer, Higher Spin Scattering in Superstring Theory, Nucl. Phys. B 849 (2011) 433 [arXiv:1011.1235] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  84. M. Bianchi and P. Teresi, Scattering higher spins off D-branes, JHEP 01 (2012) 161 [arXiv:1108.1071] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  85. S. Lee and D. Polyakov, String Amplitudes and Frame-like Formalism for Higher Spins, Phys. Rev. D 85 (2012) 106014 [arXiv:1203.0909] [INSPIRE].

    ADS  Google Scholar 

  86. Y. Zinoviev, On massive spin 2 interactions, Nucl. Phys. B 770 (2007) 83 [hep-th/0609170] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  87. Y. Zinoviev, On spin 2 electromagnetic interactions, Mod. Phys. Lett. A 24 (2009) 17 [arXiv:0806.4030] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  88. R. Metsaev, Cubic interaction vertices of massive and massless higher spin fields, Nucl. Phys. B 759 (2006) 147 [hep-th/0512342] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  89. R. Metsaev, Cubic interaction vertices for fermionic and bosonic arbitrary spin fields, Nucl. Phys. B 859 (2012) 13 [arXiv:0712.3526] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  90. R. Manvelyan, K. Mkrtchyan and W. Rühl, General trilinear interaction for arbitrary even higher spin gauge fields, Nucl. Phys. B 836 (2010) 204 [arXiv:1003.2877] [INSPIRE].

    Article  ADS  Google Scholar 

  91. M. Taronna, Higher-Spin Interactions: four-point functions and beyond, JHEP 04 (2012) 029 [arXiv:1107.5843] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  92. E. Joung and M. Taronna, Cubic interactions of massless higher spins in (A)dS: metric-like approach, Nucl. Phys. B 861 (2012) 145 [arXiv:1110.5918] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  93. M. Vasiliev, Cubic Vertices for Symmetric Higher-Spin Gauge Fields in (A)dS d , Nucl. Phys. B 862 (2012) 341 [arXiv:1108.5921] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  94. C. Aragone, S. Deser and Z. Yang, Massive higher spin from dimensional reduction of gauge fields, Annals Phys. 179 (1987) 76 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  95. S. Rindani, D. Sahdev and M. Sivakumar, Dimensional reduction of symmetric higher spin actions. 1. Bosons, Mod. Phys. Lett. A 4 (1989) 265 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  96. S. Rindani, M. Sivakumar and D. Sahdev, Dimensional reduction of symmetric higher spin actions. 2: Fermions, Mod. Phys. Lett. A 4 (1989) 275 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  97. M. Bianchi, P.J. Heslop and F. Riccioni, More on La Grande Bouffe, JHEP 08 (2005) 088 [hep-th/0504156] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  98. C. Fronsdal, Massless Fields with Integer Spin, Phys. Rev. D 18 (1978) 3624 [INSPIRE].

    ADS  Google Scholar 

  99. J. Fang and C. Fronsdal, Massless Fields with Half Integral Spin, Phys. Rev. D 18 (1978) 3630 [INSPIRE].

    ADS  Google Scholar 

  100. R. Metsaev, CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge, Phys. Lett. B 671 (2009) 128 [arXiv:0808.3945] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  101. D. Francia and A. Sagnotti, Minimal local Lagrangians for higher-spin geometry, Phys. Lett. B 624 (2005) 93 [hep-th/0507144] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  102. D. Francia, J. Mourad and A. Sagnotti, Current Exchanges and Unconstrained Higher Spins, Nucl. Phys. B 773 (2007) 203 [hep-th/0701163] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  103. A. Gover, A. Shaukat and A. Waldron, Tractors, Mass and Weyl Invariance, Nucl. Phys. B 812 (2009) 424 [arXiv:0810.2867] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  104. C. Fronsdal, Singletons and Massless, Integral Spin Fields on de Sitter Space (Elementary Particles in a Curved Space. 7., Phys. Rev. D 20 (1979) 848 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  105. R. Metsaev, Massless mixed symmetry bosonic free fields in d-dimensional anti-de Sitter space-time, Phys. Lett. B 354 (1995) 78 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  106. R. Metsaev, Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space, Lect. Notes Phys. 524 (1997) 331 [hep-th/9810231] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  107. I. Bars, Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime, Int. J. Mod. Phys. A 25 (2010) 5235 [arXiv:1004.0688] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  108. H. van Dam and M. Veltman, Massive and massless Yang-Mills and gravitational fields, Nucl. Phys. B 22 (1970) 397 [INSPIRE].

    ADS  Google Scholar 

  109. V. Zakharov, Linearized gravitation theory and the graviton mass, JETP Lett. 12 (1970) 312 [INSPIRE].

    ADS  Google Scholar 

  110. M. Porrati, No van Dam-Veltman-Zakharov discontinuity in AdS space, Phys. Lett. B 498 (2001) 92 [hep-th/0011152] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  111. I.I. Kogan, S. Mouslopoulos and A. Papazoglou, The m → 0 limit for massive graviton in dS 4 and AdS 4 : How to circumvent the van Dam-Veltman-Zakharov discontinuity, Phys. Lett. B 503 (2001) 173 [hep-th/0011138] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  112. M. Porrati, Fully covariant van Dam-Veltman-Zakharov discontinuity and absence thereof, Phys. Lett. B 534 (2002) 209 [hep-th/0203014] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  113. I. Buchbinder, A. Galajinsky and V. Krykhtin, Quartet unconstrained formulation for massless higher spin fields, Nucl. Phys. B 779 (2007) 155 [hep-th/0702161] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  114. W. Siegel, All free conformal representations in all dimensions, Int. J. Mod. Phys. A 4 (1989) 2015 [INSPIRE].

    ADS  Google Scholar 

  115. J. Dixmier, Représentations intégrables du groupe de de Sitter, B. Soc. Math. Fr. 89 (1961) 9 [http://archive.numdam.org/article/BSMF_1961__89__9_0.pdf].

  116. E. Thieleker, The unitary representations of the generalized Lorentz groups, Trans. Amer. Math. Soc. 199 (1974) 327 [http://www.ams.org/journals/tran/1974-199-00/S0002-9947-1974-0379754-8/S0002-9947-1974-0379754-8.pdf].

    Article  MathSciNet  MATH  Google Scholar 

  117. E. Joung and J. Mourad, Boundary action of free AdS higher-spin gauge fields and the holographic correspondence, arXiv:1112.5620 [INSPIRE].

  118. A.A. Tseytlin, On limits of superstring in AdS 5 × S 5, Theor. Math. Phys. 133 (2002) 1376 [hep-th/0201112] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  119. G. Bonelli, On the covariant quantization of tensionless bosonic strings in AdS space-time, JHEP 11 (2003) 028 [hep-th/0309222] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  120. A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory, Nucl. Phys. B 682 (2004) 83 [hep-th/0311257] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  121. P. Dempster and M. Tsulaia, On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background, arXiv:1203.5597 [INSPIRE].

Download references

Author information

Authors and Affiliations

  1. Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Euihun Joung, Luca Lopez & Massimo Taronna

Authors
  1. Euihun Joung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luca Lopez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Massimo Taronna
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Luca Lopez.

Additional information

ArXiv ePrint: 1203.6578

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joung, E., Lopez, L. & Taronna, M. On the cubic interactions of massive and partially-massless higher spins in (A)dS. J. High Energ. Phys. 2012, 41 (2012). https://doi.org/10.1007/JHEP07(2012)041

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP07(2012)041

Keywords

Search

Navigation