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Superspace formulation of exotic supergravities in six dimensions

  • Regular Article - Theoretical Physics
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  • Published: 04 March 2021
  • volume 2021, Article number: 56 (2021)
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Superspace formulation of exotic supergravities in six dimensions
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  • Martin Cederwall  ORCID: orcid.org/0000-0002-6170-96411 
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Abstract

We provide a linearised superfield description of the exotic non-metric N = (4, 0) supergravity in D = 6, by using a pure spinor superfield formalism. The basic field Ψ is a ghost number 2 scalar, transforming in the same R-symmetry module as the tensor fields. Partial results for the N = (1, 3) model are presented.

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References

  1. J.A. Strathdee, Extended Poincaré Supersymmetry, Int. J. Mod. Phys. A 2 (1987) 273 [INSPIRE].

    Article  ADS  Google Scholar 

  2. C.M. Hull, Strongly coupled gravity and duality, Nucl. Phys. B 583 (2000) 237 [hep-th/0004195] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  3. C.M. Hull, Symmetries and compactifications of (4, 0) conformal gravity, JHEP 12 (2000) 007 [hep-th/0011215] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  4. M. Henneaux, V. Lekeu and A. Leonard, The action of the (free) (4, 0)-theory, JHEP 01 (2018) 114 [Erratum JHEP 05 (2018) 105] [arXiv:1711.07448] [INSPIRE].

  5. M. Henneaux, V. Lekeu, J. Matulich and S. Prohazka, The Action of the (Free) \( \mathcal{N} \) = (3, 1) Theory in Six Spacetime Dimensions, JHEP 06 (2018) 057 [arXiv:1804.10125] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  6. R. Minasian, C. Strickland-Constable and Y. Zhang, On symmetries and dynamics of exotic supermultiplets, JHEP 01 (2021) 174 [arXiv:2007.08888] [INSPIRE].

    Article  Google Scholar 

  7. M. Günaydin, Unified non-metric (1, 0) tensor-Einstein supergravity theories and (4, 0) supergravity in six dimensions, arXiv:2009.01374 [INSPIRE].

  8. Y. Bertrand, S. Hohenegger, O. Hohm and H. Samtleben, Toward exotic 6D supergravities, Phys. Rev. D 103 (2021) 046002 [arXiv:2007.11644] [INSPIRE].

  9. O. Hohm and H. Samtleben, Exceptional Field Theory I: E6(6) covariant Form of M-theory and Type IIB, Phys. Rev. D 89 (2014) 066016 [arXiv:1312.0614] [INSPIRE].

  10. M. Cederwall and J. Palmkvist, Extended geometries, JHEP 02 (2018) 071 [arXiv:1711.07694] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  11. N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].

    Article  ADS  Google Scholar 

  12. N. Berkovits, Cohomology in the pure spinor formalism for the superstring, JHEP 09 (2000) 046 [hep-th/0006003] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  13. M. Cederwall, B.E.W. Nilsson and D. Tsimpis, Spinorial cohomology and maximally supersymmetric theories, JHEP 02 (2002) 009 [hep-th/0110069] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  14. M. Cederwall, N = 8 superfield formulation of the Bagger-Lambert-Gustavsson model, JHEP 09 (2008) 116 [arXiv:0808.3242] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  15. M. Cederwall, Superfield actions for N = 8 and N = 6 conformal theories in three dimensions, JHEP 10 (2008) 070 [arXiv:0809.0318] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  16. M. Cederwall, Towards a manifestly supersymmetric action for 11-dimensional supergravity, JHEP 01 (2010) 117 [arXiv:0912.1814] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  17. M. Cederwall, D = 11 supergravity with manifest supersymmetry, Mod. Phys. Lett. A 25 (2010) 3201 [arXiv:1001.0112] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  18. M. Cederwall, Pure spinor superspace action for D = 6, N = 1 super-Yang-Mills theory, JHEP 05 (2018) 115 [arXiv:1712.02284] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Cederwall, An off-shell superspace reformulation of D = 4, N = 4 super-Yang-Mills theory, Fortsch. Phys. 66 (2018) 1700082 [arXiv:1707.00554] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  20. M. Movshev and A.S. Schwarz, On maximally supersymmetric Yang-Mills theories, Nucl. Phys. B 681 (2004) 324 [hep-th/0311132] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  21. M. Movshev and A.S. Schwarz, Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories, JHEP 09 (2012) 136 [arXiv:0910.0620] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  22. M. Cederwall, Pure spinor superfields — an overview, in Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity , Springer Proceedings in Physics 153, Springer, Cham Switzerland (2014), pp. 61–93 [arXiv:1307.1762] [INSPIRE].

  23. M. Cederwall and J. Palmkvist, Superalgebras, constraints and partition functions, JHEP 08 (2015) 036 [arXiv:1503.06215] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  24. M. Cederwall, J. Palmkvist and I. Saberi, work in progress.

  25. M. Cederwall and A. Karlsson, Pure spinor superfields and Born-Infeld theory, JHEP 11 (2011) 134 [arXiv:1109.0809] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  26. R. Eager, I. Saberi and J. Walcher, Nilpotence varieties, arXiv:1807.03766 [INSPIRE].

  27. M. Chiodaroli, M. Günaydin and R. Roiban, Superconformal symmetry and maximal supergravity in various dimensions, JHEP 03 (2012) 093 [arXiv:1108.3085] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  28. N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  29. M. Cederwall, unpublished.

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Authors and Affiliations

  1. Department of Physics, Chalmers University of Technology, 412 96, Gothenburg, SE, Sweden

    Martin Cederwall

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  1. Martin Cederwall
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Correspondence to Martin Cederwall.

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ArXiv ePrint: 2012.02719

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Cederwall, M. Superspace formulation of exotic supergravities in six dimensions. J. High Energ. Phys. 2021, 56 (2021). https://doi.org/10.1007/JHEP03(2021)056

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  • Received: 11 December 2020

  • Accepted: 26 January 2021

  • Published: 04 March 2021

  • DOI: https://doi.org/10.1007/JHEP03(2021)056

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Keywords

  • Extended Supersymmetry
  • Supergravity Models
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