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Duality and couplings of 3-form-multiplets in N = 1 supersymmetry

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Abstract

In this paper we study 3-form gauge fields in four-dimensional N = 1 super-symmetric theories. We give the sigma model action together with its Poincaré dual action for massless and massive 3-forms. The resulting target space geometries are Kähler where the respective field variables and superspace couplings are related by a Legendre transformation.

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References

  1. J. Polchinski and A. Strominger, New vacua for type-II string theory, Phys. Lett. B 388 (1996) 736 [hep-th/9510227] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  2. J. Louis and A. Micu, Type-II theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. T.W. Grimm and J. Louis, The effective action of N = 1 Calabi-Yau orientifolds, Nucl. Phys. B 699 (2004) 387 [hep-th/0403067] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. M. Duff and P. van Nieuwenhuizen, Quantum inequivalence of different field representations, Phys. Lett. B 94 (1980) 179 [INSPIRE].

    ADS  Google Scholar 

  5. S. Hawking, The cosmological constant is probably zero, Phys. Lett. B 134 (1984) 403 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. M.J. Duff, The cosmological constant is possibly zero, but the proof is probably wrong, Phys. Lett. B 226 (1989) 36 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. Z.C. Wu, The cosmological constant is probably zero and a proof is possibly right, Phys. Lett. B 659 (2008) 891 [arXiv:0709.3314] [INSPIRE].

    ADS  Google Scholar 

  8. M.J. Duncan and L.G. Jensen, Four forms and the vanishing of the cosmological constant, Nucl. Phys. B 336 (1990) 100 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Bousso and J. Polchinski, Quantization of four form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. S.J. Gates Jr., Super P form gauge superfields, Nucl. Phys. B 184 (1981) 381 [INSPIRE].

    Article  ADS  Google Scholar 

  11. P. Binetruy, F. Pillon, G. Girardi and R. Grimm, The three form multiplet in supergravity, Nucl. Phys. B 477 (1996) 175 [hep-th/9603181] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. B.A. Ovrut and D. Waldram, Membranes and three form supergravity, Nucl. Phys. B 506 (1997) 236 [hep-th/9704045] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. S.J. Gates Jr. and W. Siegel, Variant superfield representations, Nucl. Phys. B 187 (1981) 389 [INSPIRE].

    Article  ADS  Google Scholar 

  14. G. Girardi, R. Grimm, B. Labonne and J. Orloff, Correspondence between 3-form and non-minimal multiplet in supersymmetry, Eur. Phys. J. C 55 (2008) 95 [arXiv:0712.1923] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. G. Girardi, R. Grimm and R. Stora, Chiral anomalies in N = 1 supersymmetric Yang-Mills theories, Phys. Lett. B 156 (1985) 203 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  16. G. Girardi and R. Grimm, The superspace geometry of gravitational Chern-Simons forms and their couplings to linear multiplets: a review, Annals Phys. 272 (1999) 49 [hep-th/9801201] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. P. Binetruy, G. Girardi and R. Grimm, Supergravity couplings: a geometric formulation, Phys. Rept. 343 (2001) 255 [hep-th/0005225] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. B. Deo and S. Gates, Comments on nonminimal N = 1 scalar multiplets, Nucl. Phys. B 254 (1985) 187 [INSPIRE].

    Article  ADS  Google Scholar 

  19. S. Penati, A. Refolli, A. Van Proeyen and D. Zanon, The nonminimal scalar multiplet: duality, σ-model, β-function, Nucl. Phys. B 514 (1998) 460 [hep-th/9710166] [INSPIRE].

    Article  ADS  Google Scholar 

  20. G. Farrar, G. Gabadadze and M. Schwetz, On the effective action of N = 1 supersymmetric Yang-Mills theory, Phys. Rev. D 58 (1998) 015009 [hep-th/9711166] [INSPIRE].

    ADS  Google Scholar 

  21. G. Gabadadze, G. Farrar and M. Schwetz, The spectrum and effective action of SUSY gluodynamics, hep-ph/9809276 [INSPIRE].

  22. D.G. Cerdeno, A. Knauf and J. Louis, A note on effective N = 1 super Yang-Mills theories versus lattice results, Eur. Phys. J. C 31 (2003) 415 [hep-th/0307198] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. I. Buchbinder and S. Kuzenko, Quantization of the classically equivalent theories in the superspace of simple supergravity and quantum equivalence, Nucl. Phys. B 308 (1988) 162 [INSPIRE].

    Article  ADS  Google Scholar 

  24. L. O’Raifeartaigh, Spontaneous symmetry breaking for chiral scalar superfields, Nucl. Phys. B 96 (1975) 331 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).

    Google Scholar 

  26. M. Bertin, B. Pimentel and P. Pompeia, First order actions: a new view, Mod. Phys. Lett. A 20 (2005) 2873 [hep-th/0503064] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  27. A. Gaona and J.A. Garcia, First order actions and duality, Int. J. Mod. Phys. A 22 (2007) 851 [hep-th/0610022] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  28. S.J. Gates Jr., M.T. Grisaru, M. Rocek and W. Siegel, Superspace, Benjamin/Cummings, U.S.A. (1983).

    MATH  Google Scholar 

  29. J. Louis and W. Schulgin, Massive tensor multiplets in N = 1 supersymmetry, Fortsch. Phys. 53 (2005) 235 [hep-th/0410149] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. R.K.P. Zia, E.F. Redish and S.R. McKay, Making sense of the Legendre transform, Amer. J. Phys. 77 (2009) 614 [arXiv:0806.1147].

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, Nottingham, U.K.

    Kai Groh

  2. II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, D-22761, Hamburg, Germany

    Jan Louis & Jason Sommerfeld

  3. Zentrum für Mathematische Physik, Universität Hamburg, Bundesstrasse 55, D-20146, Hamburg, Germany

    Jan Louis

Authors
  1. Kai Groh
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  2. Jan Louis
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  3. Jason Sommerfeld
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Correspondence to Jan Louis.

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ArXiv ePrint: 1212.4639

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Groh, K., Louis, J. & Sommerfeld, J. Duality and couplings of 3-form-multiplets in N = 1 supersymmetry. J. High Energ. Phys. 2013, 1 (2013). https://doi.org/10.1007/JHEP05(2013)001

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  • DOI: https://doi.org/10.1007/JHEP05(2013)001

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