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On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations

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Abstract

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic interaction vertices using a simple particular example. We examine whether BCFW recursion relations for interacting Higher Spin theories are applicable. We argue that for several interesting examples such relations should exist, but consistency of the theories might require that we supplement Higher Spin field theories with extended and possibly non-local objects.

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References

  1. M.A. Vasiliev, Higher spin gauge theories in various dimensions, Fortsch. Phys. 52 (2004) 702 [hep-th/0401177] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

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

    Article  MathSciNet  ADS  Google Scholar 

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

  5. X. Bekaert, I.L. Buchbinder, A. Pashnev and M. Tsulaia, On higher spin theory: Strings, BRST, dimensional reductions, Class. Quant. Grav. 21 (2004) S1457 [hep-th/0312252] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. A. Campoleoni, Metric-like Lagrangian Formulations for Higher-Spin Fields of Mixed Symmetry, Riv. Nuovo Cim. 033 (2010) 123 [arXiv:0910.3155] [SPIRES].

    Google Scholar 

  7. D. Francia, On the relation between local and geometric Lagrangians for higher spins, J. Phys. Conf. Ser. 222 (2010) 012002 [arXiv:1001.3854] [SPIRES].

    Article  ADS  Google Scholar 

  8. 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 [SPIRES].

  9. A. Fotopoulos and M. Tsulaia, Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation, Int. J. Mod. Phys. A 24 (2009) 1 [arXiv:0805.1346] [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  11. E.S. Fradkin and M.A. Vasiliev, Candidate to the Role of Higher Spin Symmetry, Ann. Phys. 177 (1987) 63 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  12. M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions, Phys. Lett. B 243 (1990) 378 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  13. M.A. Vasiliev, More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions, Phys. Lett. B 285 (1992) 225 [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

  15. M.A. Vasiliev, On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields, Nucl. Phys. B 793 (2008) 469 [arXiv:0707.1085] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. M.A. Vasiliev, Higher spin superalgebras in any dimension and their representations, JHEP 12 (2004) 046 [hep-th/0404124] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  18. D.P. Sorokin and M.A. Vasiliev, Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation, Nucl. Phys. B 809 (2009) 110 [arXiv:0807.0206] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  19. I.A. Bandos and J . Lukierski, Tensorial central charges and new superparticle models with fundamental spinor coordinates, Mod. Phys. Lett. A 14 (1999) 1257 [hep-th/9811022] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  20. I.A. Bandos, J. Lukierski and D.P. Sorokin, Superparticle models with tensorial central charges, Phys. Rev. D 61 (2000) 045002 [hep-th/9904109] [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    ADS  Google Scholar 

  22. 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 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  23. S. Ouvry and J. Stern, Gauge fields of any spin and symmetry, Phys. Lett. B 177 (1986) 335 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  24. A.K.H. Bengtsson, I. Bengtsson and L. Brink, Cubic interaction terms for arbitrarily extended supermultiplets, Nucl. Phys. B 227 (1983) 41 [SPIRES].

    Article  ADS  Google Scholar 

  25. F. Hussain, G. Thompson and P.D. Jarvis, Massive and Massless Gauge Fields of Any Spin and Symmetry, Phys. Lett. B 216 (1989) 139 [SPIRES].

    ADS  Google Scholar 

  26. F.A. Berends, G.J.H. Burgers and H. van Dam, Explicit construction of conserved currents for massless fields of arbitrary spin, Nucl. Phys. B 271 (1986) 429 [SPIRES].

    ADS  Google Scholar 

  27. A.K.H. Bengtsson, BRST approach to interacting higher spin gauge fields, Class. Quant. Grav. 5 (1988) 437 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  28. A. Pashnev and M.M. Tsulaia, Dimensional reduction and BRST approach to the description of a Regge trajectory, Mod. Phys. Lett. A 12 (1997) 861 [hep-th/9703010] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  29. I.L. Buchbinder, A. Pashnev and M. Tsulaia, Lagrangian formulation of the massless higher integer spin fields in the AdS background, Phys. Lett. B 523 (2001) 338 [hep-th/0109067] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  30. I.L. Buchbinder, V.A. Krykhtin and A. Pashnev, BRST approach to Lagrangian construction for fermionic massless higher spin fields, Nucl. Phys. B 711 (2005) 367 [hep-th/0410215] [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  34. I.L. Buchbinder, V.A. Krykhtin and A.A. Reshetnyak, BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space, Nucl. Phys. B 787 (2007) 211 [hep-th/0703049] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  36. A.P. Isaev, S.O. Krivonos and O.V. Ogievetsky, BRST operators for W algebras, J. Math. Phys. 49 (2008) 073512 [arXiv:0802.3781] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  37. R.R. Metsaev, Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space, hep-th/9810231 [SPIRES].

  38. R.R. Metsaev, Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space, hep-th/9810231 [SPIRES].

  39. Y.M. Zinoviev, Massive N =1 supermultiplets with arbitrary superspins, Nucl. Phys. B 785 (2007) 98 [arXiv:0704.1535] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  40. P. de Medeiros and C. Hull, Exotic tensor gauge theory and duality, Commun. Math. Phys. 235 (2003) 255 [hep-th/0208155] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  41. P. de Medeiros and C. Hull, Geometric second order field equations for general tensor gauge fields, JHEP 05 (2003) 019 [hep-th/0303036] [SPIRES].

    Article  Google Scholar 

  42. R.R. Metsaev, Cubic interaction vertices for fermionic and bosonic arbitrary spin fields, arXiv:0712.3526 [SPIRES].

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

    Article  MathSciNet  ADS  Google Scholar 

  44. X. Bekaert, N. Boulanger and S. Cnockaert, Spin three gauge theory revisited, JHEP 01 (2006) 052 [hep-th/0508048] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  45. N. Boulanger, S. Leclercq and S. Cnockaert, Parity violating vertices for spin-3 gauge fields, Phys. Rev. D 73 (2006) 065019 [hep-th/0509118] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  46. N. Boulanger and S. Leclercq, Consistent couplings between spin-2 and spin-3 massless fields, JHEP 11 (2006) 034 [hep-th/0609221] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  47. N. Boulanger, S. Leclercq and P. Sundell, On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory, JHEP 08 (2008) 056 [arXiv:0805.2764] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  48. A. Fotopoulos and M. Tsulaia, Interacting Higher Spins and the High Energy Limit of the Bosonic String, Phys. Rev. D 76 (2007) 025014 [arXiv:0705.2939] [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  50. Y.M. Zinoviev, Spin 3 cubic vertices in a frame-like formalism, JHEP 08 (2010) 084 [arXiv:1007.0158] [SPIRES].

    Article  ADS  Google Scholar 

  51. 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] [SPIRES].

    Article  ADS  Google Scholar 

  52. R. Manvelyan, K. Mkrtchyan and W. Ruehl, Direct construction of a cubic selfinteraction for higher spin gauge fields, arXiv:1002.1358 [SPIRES].

  53. R. Manvelyan, K. Mkrtchyan and W. Rühl, Off-shell construction of some trilinear higher spin gauge field interactions, Nucl. Phys. B 826 (2010) 1 [arXiv:0903.0243] [SPIRES].

    Article  ADS  Google Scholar 

  54. A. Fotopoulos, unpublished.

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

    Article  ADS  Google Scholar 

  56. M. Taronna, Higher Spins and String Interactions, arXiv:1005.3061 [SPIRES].

  57. D. Polyakov, Gravitational Couplings of Higher Spins from String Theory, Int. J. Mod. Phys. A 25 (2010) 4623 [arXiv:1005.5512] [SPIRES].

    ADS  Google Scholar 

  58. D. Polyakov, Interactions of Massless Higher Spin Fields From String Theory, Phys. Rev. D 82 (2010) 066005 [arXiv:0910.5338] [SPIRES].

    ADS  Google Scholar 

  59. F. Bastianelli and R. Bonezzi, U(N) spinning particles and higher spin equations on complex manifolds, JHEP 03 (2009) 063 [arXiv:0901.2311] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  60. F. Bastianelli, O. Corradini and E. Latini, Spinning particles and higher spin fields on (A)dS backgrounds, JHEP 11 (2008) 054 [arXiv:0810.0188] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  61. O. Corradini, Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models, JHEP 09 (2010) 113 [arXiv:1006.4452] [SPIRES].

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    ADS  Google Scholar 

  64. D. Cherney, E. Latini and A. Waldron, Generalized Einstein Operator Generating Functions, Phys. Lett. B 682 (2010) 472 [arXiv:0909.4578] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  65. R. Marnelius, Lagrangian higher spin field theories from the O(N) extended supersymmetric particle, arXiv:0906.2084 [SPIRES].

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

    Article  MathSciNet  ADS  Google Scholar 

  67. 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] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  68. I.L. Buchbinder, A. Fotopoulos, A.C. Petkou and M. Tsulaia, Constructing the cubic interaction vertex of higher spin gauge fields, Phys. Rev. D 74 (2006) 105018 [hep-th/0609082] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  69. A. Fotopoulos, N. Irges, A.C. Petkou and M. Tsulaia, Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex, JHEP 10 (2007) 021 [arXiv:0708.1399] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  70. A. Fotopoulos and M. Tsulaia, Current Exchanges for Reducible Higher Spin Modes on AdS, arXiv:1007.0747 [SPIRES].

  71. A. Fotopoulos and M. Tsulaia, Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing, JHEP 10 (2009) 050 [arXiv:0907.4061] [SPIRES].

    Article  ADS  Google Scholar 

  72. D. Francia, J. Mourad and A. Sagnotti, Current exchanges and unconstrained higher spins, Nucl. Phys. B 773 (2007) 203 [hep-th/0701163] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  74. A. Sagnotti, Higher Spins and Current Exchanges, arXiv:1002.3388 [SPIRES].

  75. X. Bekaert, E. Joung and J. Mourad, On higher spin interactions with matter, JHEP 05 (2009) 126 [arXiv:0903.3338] [SPIRES].

    Article  ADS  Google Scholar 

  76. D. Francia and A. Sagnotti, On the geometry of higher-spin gauge fields, Class. Quant. Grav. 20 (2003) S473 [hep-th/0212185] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  77. D. Francia, String theory triplets and higher-spin curvatures, Phys. Lett. B 690 (2010) 90 [arXiv:1001.5003] [SPIRES].

    ADS  Google Scholar 

  78. E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [Erratum ibid. B 660 (2003) 403] [hep-th/0205131] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  79. I.R. Klebanov and A.M. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  80. A.C. Petkou, Evaluating the AdS dual of the critical O(N) vector model, JHEP 03 (2003) 049 [hep-th/0302063] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  81. R.G. Leigh and A.C. Petkou, Holography of the N =1 higher-spin theory on AdS 4, JHEP 06 (2003) 011 [hep-th/0304217] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  82. M. Bianchi, J.F. Morales and H. Samtleben, On stringy AdS 5 ×S 5 and higher spin holography, JHEP 07 (2003) 062 [hep-th/0305052] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  83. P. Haggi-Mani and B. Sundborg, Free large-N supersymmetric Yang-Mills theory as a string theory, JHEP 04 (2000) 031 [hep-th/0002189] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  84. S. Giombi and X. Yin, Higher Spin Gauge Theory and Holography: The Three-Point Functions, JHEP 09 (2010) 115 [arXiv:0912.3462] [SPIRES].

    Article  ADS  Google Scholar 

  85. S. Giombi and X. Yin, Higher Spins in AdS and Twistorial Holography, arXiv:1004.3736 [SPIRES].

  86. D.J. Gross and P.F. Mende, String Theory Beyond the Planck Scale, Nucl. Phys. B 303 (1988) 407 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  87. N. Moeller and P.C. West, Arbitrary four string scattering at high energy and fixed angle, Nucl. Phys. B 729 (2005) 1 [hep-th/0507152] [SPIRES].

    Article  ADS  Google Scholar 

  88. G. Bonelli, On the tensionless limit of bosonic strings, infinite symmetries and higher spins, Nucl. Phys. B 669 (2003) 159 [hep-th/0305155] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  89. U. Lindström and M. Zabzine, Tensionless strings, WZW models at critical level and massless higher spin fields, Phys. Lett. B 584 (2004) 178 [hep-th/0305098] [SPIRES].

    ADS  Google Scholar 

  90. H. Gustafsson, U. Lindström, P. Saltsidis, B. Sundborg and R. van Unge, Hamiltonian BRST quantization of the conformal string, Nucl. Phys. B 440 (1995) 495 [hep-th/9410143] [SPIRES].

    Article  ADS  Google Scholar 

  91. U. Lindström and M. Roček, D =2 null superspaces, Phys. Lett. B 271 (1991) 79 [SPIRES].

    ADS  Google Scholar 

  92. U. Lindström, B. Sundborg and G. Theodoridis, The Zero tension limit of the spinning string, Phys. Lett. B 258 (1991) 331 [SPIRES].

    ADS  Google Scholar 

  93. U. Lindström, B. Sundborg and G. Theodoridis, The Zero tension limit of the superstring, Phys. Lett. B 253 (1991) 319 [SPIRES].

    ADS  Google Scholar 

  94. A. Karlhede and U. Lindström, The classical bosonic string in the zero tension limit, Class. Quant. Grav. 3 (1986) L73 [SPIRES].

    Article  ADS  Google Scholar 

  95. I.G. Koh and S. Ouvry, Interacting gauge fields of any spin and symmetry, Phys. Lett. B 179 (1986) 115 [Erratum ibid. B 183 (1987) 434 E] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  96. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  97. F. Cachazo, P. Svrček and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 09 (2004) 006 [hep-th/0403047] [SPIRES].

    Article  ADS  Google Scholar 

  98. S.J. Parke and T.R. Taylor, An Amplitude for n Gluon Scattering, Phys. Rev. Lett. 56 (1986) 2459 [SPIRES].

    Article  ADS  Google Scholar 

  99. R. Britto, F. Cachazo and B. Feng, New Recursion Relations for Tree Amplitudes of Gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  100. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  101. F. Cachazo and P. Svrček, Lectures on twistor strings and perturbative Yang-Mills theory, PoS(RTN2005)004 (2005) [hep-th/0504194] [SPIRES].

  102. K. Risager, A direct proof of the CSW rules, JHEP 12 (2005) 003 [hep-th/0508206] [SPIRES].

    Article  ADS  Google Scholar 

  103. B. Feng, J. Wang, Y. Wang and Z. Zhang, BCFW Recursion Relation with Nonzero Boundary Contribution, JHEP 01 (2010) 019 [arXiv:0911.0301] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  104. B. Feng and C.-Y. Liu, A note on the boundary contribution with bad deformation in gauge theory, JHEP 07 (2010) 093 [arXiv:1004.1282] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  105. R. Boels, K.J. Larsen, N.A. Obers and M. Vonk, MHV, CSW and BCFW: field theory structures in string theory amplitudes, JHEP 11 (2008) 015 [arXiv:0808.2598] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  106. C. Cheung, D. O’Connell and B. Wecht, BCFW Recursion Relations and String Theory, JHEP 09 (2010) 052 [arXiv:1002.4674] [SPIRES].

    Article  ADS  Google Scholar 

  107. R.H. Boels, D. Marmiroli and N.A. Obers, On-shell Recursion in String Theory, JHEP 10 (2010) 034 [arXiv:1002.5029] [SPIRES].

    Article  ADS  Google Scholar 

  108. P. Benincasa and F. Cachazo, Consistency Conditions on the S-matrix of Massless Particles, arXiv:0705.4305 [SPIRES].

  109. D.J. Gross and A. Jevicki, Operator Formulation of Interacting String Field Theory, Nucl. Phys. B 283 (1987) 1 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  110. D.J. Gross and A. Jevicki, Operator Formulation of Interacting String Field Theory. 2, Nucl. Phys. B 287 (1987) 225 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  111. A. Neveu and P.C. West, Symmetries of the Interacting Gauge Covariant Bosonic String, Nucl. Phys. B 278 (1986) 601 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  112. A.K.H. Bengtsson, Structure of Higher Spin Gauge Interactions, J. Math. Phys. 48 (2007) 072302 [hep-th/0611067] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  113. N. Arkani-Hamed and J. Kaplan, On Tree Amplitudes in Gauge Theory and Gravity, JHEP 04 (2008) 076 [arXiv:0801.2385] [SPIRES].

    Article  MathSciNet  Google Scholar 

  114. R.C. Brower, J. Polchinski, M.J. Strassler and C.-I. Tan, The Pomeron and Gauge/String Duality, JHEP 12 (2007) 005 [hep-th/0603115] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica Teorica dell’Università di Torino and INFN Sezione di Torino, via P.Giuria 1, I-10125, Torino, Italy

    Angelos Fotopoulos

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, United Kingdom

    Mirian Tsulaia

  3. Centre for Theoretical Chemistry and Physics, Massey University of Auckland, Private Bag 102904, 0745, Auckland, New Zealand

    Mirian Tsulaia

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  1. Angelos Fotopoulos
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  2. Mirian Tsulaia
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ArXiv ePrint:1009.0727

Associate member of the Centre of Particle Physics and Cosmology, Ilia State University, 0162, Tbilisi, Georgia.

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Fotopoulos, A., Tsulaia, M. On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations. J. High Energ. Phys. 2010, 86 (2010). https://doi.org/10.1007/JHEP11(2010)086

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