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Journal of High Energy Physics

, 2016:101 | Cite as

Constrained superfields in supergravity

Open Access
Regular Article - Theoretical Physics
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Abstract

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the superspace Lagrangians for minimal supergravity models based on them and write the corresponding theories in component form using a simplifying gauge for the goldstino couplings.

Keywords

Supersymmetry Breaking Supergravity Models Supersymmetric Effective Theories 
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References

  1. [1]
    M. Roček, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].CrossRefADSGoogle Scholar
  2. [2]
    E.A. Ivanov and A.A. Kapustnikov, General Relationship Between Linear and Nonlinear Realizations of Supersymmetry, J. Phys. A 11 (1978) 2375 [INSPIRE].ADSMathSciNetGoogle Scholar
  3. [3]
    E.A. Ivanov and A.A. Kapustnikov, The non-linear realization structure of models with spontaneously broken supersymmetry, J. Phys. G 8 (1982) 167 [INSPIRE].CrossRefADSGoogle Scholar
  4. [4]
    R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Nonlinear Realization of Supersymmetry Algebra From Supersymmetric Constraint, Phys. Lett. B 220 (1989) 569 [INSPIRE].CrossRefADSGoogle Scholar
  5. [5]
    Z. Komargodski and N. Seiberg, From Linear SUSY to Constrained Superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  6. [6]
    I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Non-linear MSSM, Nucl. Phys. B 841 (2010) 157 [arXiv:1006.1662] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  7. [7]
    S.M. Kuzenko and S.J. Tyler, Complex linear superfield as a model for Goldstino, JHEP 04 (2011) 057 [arXiv:1102.3042] [INSPIRE].CrossRefADSGoogle Scholar
  8. [8]
    S.M. Kuzenko and S.J. Tyler, On the Goldstino actions and their symmetries, JHEP 05 (2011) 055 [arXiv:1102.3043] [INSPIRE].CrossRefADSGoogle Scholar
  9. [9]
    E. Dudas, G. von Gersdorff, D.M. Ghilencea, S. Lavignac and J. Parmentier, On non-universal Goldstino couplings to matter, Nucl. Phys. B 855 (2012) 570 [arXiv:1106.5792] [INSPIRE].CrossRefADSGoogle Scholar
  10. [10]
    I. Antoniadis, E. Dudas and D.M. Ghilencea, Goldstino and sgoldstino in microscopic models and the constrained superfields formalism, Nucl. Phys. B 857 (2012) 65 [arXiv:1110.5939] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  11. [11]
    E. Dudas, C. Petersson and P. Tziveloglou, Low Scale Supersymmetry Breaking and its LHC Signatures, Nucl. Phys. B 870 (2013) 353 [arXiv:1211.5609] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  12. [12]
    F. Farakos, O. HulÍk, P. Kočí and R. von Unge, Non-minimal scalar multiplets, supersymmetry breaking and dualities, JHEP 09 (2015) 177 [arXiv:1507.01885] [INSPIRE].CrossRefADSGoogle Scholar
  13. [13]
    U. Lindström and M. Roček, Constrained local superfields, Phys. Rev. D 19 (1979) 2300 [INSPIRE].ADSGoogle Scholar
  14. [14]
    S. Samuel and J. Wess, A Superfield Formulation of the Nonlinear Realization of Supersymmetry and Its Coupling to Supergravity, Nucl. Phys. B 221 (1983) 153 [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  15. [15]
    F. Farakos and A. Kehagias, Decoupling Limits of sGoldstino Modes in Global and Local Supersymmetry, Phys. Lett. B 724 (2013) 322 [arXiv:1302.0866] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  16. [16]
    I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  17. [17]
    S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  18. [18]
    R. Kallosh and A. Linde, Inflation and Uplifting with Nilpotent Superfields, JCAP 01 (2015) 025 [arXiv:1408.5950] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  19. [19]
    G. Dall’Agata and F. Zwirner, On sgoldstino-less supergravity models of inflation, JHEP 12 (2014) 172 [arXiv:1411.2605] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  20. [20]
    R. Kallosh, A. Linde and M. Scalisi, Inflation, de Sitter Landscape and Super-Higgs effect, JHEP 03 (2015) 111 [arXiv:1411.5671] [INSPIRE].CrossRefMathSciNetGoogle Scholar
  21. [21]
    E. Dudas, S. Ferrara, A. Kehagias and A. Sagnotti, Properties of Nilpotent Supergravity, JHEP 09 (2015) 217 [arXiv:1507.07842] [INSPIRE].CrossRefADSGoogle Scholar
  22. [22]
    E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, Phys. Rev. D 92 (2015) 085040 [arXiv:1507.08264] [INSPIRE].ADSGoogle Scholar
  23. [23]
    F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional \( \mathcal{N}=1 \) supergravity, JHEP 10 (2015) 106 [arXiv:1507.08619] [INSPIRE].CrossRefADSGoogle Scholar
  24. [24]
    S. Ferrara, M. Porrati and A. Sagnotti, Scale invariant Volkov-Akulov supergravity, Phys. Lett. B 749 (2015) 589 [arXiv:1508.02939] [INSPIRE].CrossRefADSGoogle Scholar
  25. [25]
    S.M. Kuzenko, Complex linear Goldstino superfield and supergravity, JHEP 10 (2015) 006 [arXiv:1508.03190] [INSPIRE].CrossRefADSGoogle Scholar
  26. [26]
    I. Antoniadis and C. Markou, The coupling of Non-linear Supersymmetry to Supergravity, Eur. Phys. J. C 75 (2015) 582 [arXiv:1508.06767] [INSPIRE].CrossRefADSGoogle Scholar
  27. [27]
    R. Kallosh, Matter-coupled de Sitter Supergravity, arXiv:1509.02136 [INSPIRE].
  28. [28]
    R. Kallosh and T. Wrase, de Sitter Supergravity Model Building, Phys. Rev. D 92 (2015) 105010 [arXiv:1509.02137] [INSPIRE].ADSGoogle Scholar
  29. [29]
    F. Hasegawa and Y. Yamada, de Sitter vacuum from R 2 supergravity, Phys. Rev. D 92 (2015) 105027 [arXiv:1509.04987] [INSPIRE].ADSGoogle Scholar
  30. [30]
    G. Dall’Agata, S. Ferrara and F. Zwirner, Minimal scalar-less matter-coupled supergravity, Phys. Lett. B 752 (2016) 263 [arXiv:1509.06345] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  31. [31]
    R. Kallosh, A. Karlsson and D. Murli, From linear to nonlinear supersymmetry via functional integration, Phys. Rev. D 93 (2016) 025012 [arXiv:1511.07547] [INSPIRE].ADSGoogle Scholar
  32. [32]
    L. Álvarez-Gaumé, C. Gomez and R. Jimenez, Minimal Inflation, Phys. Lett. B 690 (2010) 68 [arXiv:1001.0010] [INSPIRE].CrossRefADSGoogle Scholar
  33. [33]
    L. Álvarez-Gaumé, C. Gomez and R. Jimenez, A Minimal Inflation Scenario, JCAP 03 (2011) 027 [arXiv:1101.4948] [INSPIRE].CrossRefGoogle Scholar
  34. [34]
    S. Ferrara and A. Sagnotti, Supersymmetry and Inflation, arXiv:1509.01500 [INSPIRE].
  35. [35]
    Y. Kahn, D.A. Roberts and J. Thaler, The goldstone and goldstino of supersymmetric inflation, JHEP 10 (2015) 001 [arXiv:1504.05958] [INSPIRE].CrossRefADSGoogle Scholar
  36. [36]
    M. Schillo, E. van der Woerd and T. Wrase, The general de Sitter supergravity component action, arXiv:1511.01542 [INSPIRE].
  37. [37]
    S. Ferrara, R. Kallosh and J. Thaler, Cosmology with orthogonal nilpotent superfields, arXiv:1512.00545 [INSPIRE].
  38. [38]
    J.J.M. Carrasco, R. Kallosh and A. Linde, Inflatino-less Cosmology, arXiv:1512.00546 [INSPIRE].
  39. [39]
    E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{\mathrm{D}3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].CrossRefADSGoogle Scholar
  40. [40]
    I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, arXiv:1511.03024 [INSPIRE].
  41. [41]
    L. Aparicio, F. Quevedo and R. Valandro, Moduli Stabilisation with Nilpotent Goldstino: Vacuum Structure and SUSY Breaking, arXiv:1511.08105 [INSPIRE].
  42. [42]
    R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].CrossRefADSGoogle Scholar
  43. [43]
    A. Brignole, F. Feruglio and F. Zwirner, Four-fermion interactions and sgoldstino masses in models with a superlight gravitino, Phys. Lett. B 438 (1998) 89 [hep-ph/9805282] [INSPIRE].CrossRefADSGoogle Scholar
  44. [44]
    A. Brignole, F. Feruglio and F. Zwirner, On the effective interactions of a light gravitino with matter fermions, JHEP 11 (1997) 001 [hep-th/9709111] [INSPIRE].CrossRefADSGoogle Scholar
  45. [45]
    J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A., (1992).Google Scholar
  46. [46]
    M. Roček and A.A. Tseytlin, Partial breaking of global D = 4 supersymmetry, constrained superfields and three-brane actions, Phys. Rev. D 59 (1999) 106001 [hep-th/9811232] [INSPIRE].ADSGoogle Scholar
  47. [47]
    J. Bagger and A. Galperin, Matter couplings in partially broken extended supersymmetry, Phys. Lett. B 336 (1994) 25 [hep-th/9406217] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  48. [48]
    I. Antoniadis, J.P. Derendinger and T. Maillard, Nonlinear N = 2 Supersymmetry, Effective Actions and Moduli Stabilization, Nucl. Phys. B 808 (2009) 53 [arXiv:0804.1738] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar
  49. [49]
    I. Dalianis and F. Farakos, On the initial conditions for inflation with plateau potentials: the R+R 2 (super)gravity case, JCAP 07 (2015) 044 [arXiv:1502.01246] [INSPIRE].CrossRefADSMathSciNetGoogle Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Dipartimento di Fisica ed Astronomia “Galileo Galilei”Università di PadovaPadovaItaly
  2. 2.INFN, Sezione di PadovaPadovaItaly

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