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Spectrum of higher derivative 6D chiral supergravity on Minkowski ×S 2

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Abstract

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N = (1, 0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski ×S 2 compactification with a U(1) monopole of unit charge on S 2. We determine the full spectrum of the theory on this background. We also determine the spectrum on a non-supersymmetric version of this compactification in which the monopole charge is different from unity, and we find the peculiar feature that there are massless gravitini in a representation of the S 2 isometry group determined by the monopole charge.

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References

  1. E. Bergshoeff, E. Sezgin and A. Van Proeyen, Superconformal tensor calculus and matter couplings in six-dimensions, Nucl. Phys. B 264 (1986) 653 [Erratum ibid. B 598 (2001) 667] [INSPIRE].

    Article  ADS  Google Scholar 

  2. F. Coomans and A. Van Proeyen, Off-shell N = (1,0), D = 6 supergravity from superconformal methods, JHEP 02 (2011) 049 [Erratum ibid. 1201 (2012) 119] [arXiv:1101.2403] [INSPIRE].

    Article  ADS  Google Scholar 

  3. E. Bergshoeff, A. Salam and E. Sezgin, Supersymmetric R 2 actions, conformal invariance and Lorentz Chern-Simons term in six-dimensions and ten-dimensions, Nucl. Phys. B 279 (1987) 659 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. E.A. Bergshoeff, J. Rosseel and E. Sezgin, Off-shell D = 5, N = 2 Riemann Squared Supergravity, Class. Quant. Grav. 28 (2011) 225016 [arXiv:1107.2825] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. E. Bergshoeff, F. Coomans, E. Sezgin and A. Van Proeyen, Higher Derivative Extension of 6D Chiral Gauged Supergravity, JHEP 07 (2012) 011 [arXiv:1203.2975] [INSPIRE].

    Article  ADS  Google Scholar 

  6. A. Salam and E. Sezgin, Chiral Compactification on Minkowski ×S 2 of N = 2 Einstein-Maxwell Supergravity in Six-Dimensions, Phys. Lett. B 147 (1984) 47 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. S. Deser and C. Teitelboim, Supergravity Has Positive Energy, Phys. Rev. Lett. 39 (1977) 249 [INSPIRE].

    Article  ADS  Google Scholar 

  8. D.G. Boulware, S. Deser and K. Stelle, Energy and supercharge in higher derivative gravity, Phys. Lett. B 168 (1986) 336 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  9. H. Kim, L. Romans and P. van Nieuwenhuizen, The Mass Spectrum of Chiral N = 2 D = 10 Supergravity on S 5, Phys. Rev. D 32 (1985) 389 [INSPIRE].

    ADS  Google Scholar 

  10. P. Hoxha, R. Martinez-Acosta and C. Pope, Kaluza-Klein consistency, Killing vectors and Kähler spaces, Class. Quant. Grav. 17 (2000) 4207 [hep-th/0005172] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. G. Gibbons and C. Pope, Consistent S 2 Pauli reduction of six-dimensional chiral gauged Einstein-Maxwell supergravity, Nucl. Phys. B 697 (2004) 225 [hep-th/0307052] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. M. Cvetič, G. Gibbons and C. Pope, A String and M-theory origin for the Salam-Sezgin model, Nucl. Phys. B 677 (2004) 164 [hep-th/0308026] [INSPIRE].

    Article  ADS  Google Scholar 

  13. H. Lü, C. Pope and E. Sezgin, Massive Three-Dimensional Supergravity From R + R 2 Action in Six Dimensions, JHEP 10 (2010) 016 [arXiv:1007.0173] [INSPIRE].

    Article  Google Scholar 

  14. E. Bergshoeff and M. de Roo, The quartic effective action of the heterotic string and supersymmetry, Nucl. Phys. B 328 (1989) 439 [INSPIRE].

    Article  ADS  Google Scholar 

  15. H. Lü and Y. Pang, On Hybrid (Topologically) Massive Supergravity in Three Dimensions, JHEP 03 (2011) 050 [arXiv:1011.6212] [INSPIRE].

    Article  Google Scholar 

  16. P. Van Nieuwenhuizen, Supergravity, Phys. Rept. 68 (1981) 189 [INSPIRE].

    Article  ADS  Google Scholar 

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Correspondence to Y. Pang.

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ArXiv ePrint: 1204.1060

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Pang, Y., Pope, C.N. & Sezgin, E. Spectrum of higher derivative 6D chiral supergravity on Minkowski ×S 2 . J. High Energ. Phys. 2012, 154 (2012). https://doi.org/10.1007/JHEP10(2012)154

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  • DOI: https://doi.org/10.1007/JHEP10(2012)154

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