Abstract
It is known that the transformations of fermionic T-duality, derived from the worldsheet theory, generically transform real supergravity backgrounds to complex supergravity backgrounds. We consider the low-energy target space theory and show that the type II supergravity equations admit a symmetry that transforms the Ramond-Ramond fields and the dilaton. The transformations given by this symmetry involve Killing spinors and include the transformations of Berkovits and Maldacena. However, we show that they also allow real transformations.
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References
A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139] [SPIRES].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, An introduction to T duality in string theory, Nucl. Phys. Proc. Suppl. 41 (1995) 1 [hep-th/9410237] [SPIRES].
C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [SPIRES].
E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [SPIRES].
R.C. Myers, Dielectric-branes, JHEP 12 (1999) 022 [hep-th/9910053] [SPIRES].
E. Bergshoeff, C.M. Hull and T. Ortín, Duality in the type-II superstring effective action, Nucl. Phys. B 451 (1995) 547 [hep-th/9504081] [SPIRES].
T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59 [SPIRES].
T.H. Buscher, Path integral derivation of quantum duality in nonlinear σ-models, Phys. Lett. B 201 (1988) 466 [SPIRES].
N. Berkovits and J. Maldacena, Fermionic T-duality, dual superconformal symmetry and the amplitude/Wilson loop connection, JHEP 09 (2008) 062 [arXiv:0807.3196] [SPIRES].
N. Beisert, R. Ricci, A.A. Tseytlin and M. Wolf, Dual superconformal symmetry from AdS 5 × S 5 superstring integrability, Phys. Rev. D 78 (2008) 126004 [arXiv:0807.3228] [SPIRES].
J.M. Drummond, J. Henn, V.A. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [hep-th/0607160] [SPIRES].
J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [arXiv:0807.1095] [SPIRES].
I. Adam, A. Dekel and Y. Oz, On integrable backgrounds self-dual under Fermionic T-duality, JHEP 04 (2009) 120 [arXiv:0902.3805] [SPIRES].
P. Fré, P.A. Grassi, L. Sommovigo and M. Trigiante, Theory of superdualities and the orthosymplectic supergroup, Nucl. Phys. B 825 (2010) 177 [arXiv:0906.2510] [SPIRES].
C.-g. Hao, B. Chen and X.-c. Song, On Fermionic T-duality of sigma modes on AdS backgrounds, JHEP 12 (2009) 051 [arXiv:0909.5485] [SPIRES].
I. Bakhmatov and D.S. Berman, Exploring Fermionic T-duality, Nucl. Phys. B 832 (2010) 89 [arXiv:0912.3657] [SPIRES].
K. Sfetsos, K. Siampos and D.C. Thompson, Canonical pure spinor (Fermionic) T-duality, arXiv:1007.5142 [SPIRES].
C.G. Callan Jr., E.J. Martinec, M.J. Perry and D. Friedan, Strings in background fields, Nucl. Phys. B 262 (1985) 593 [SPIRES].
M. Roček and E.P. Verlinde, Duality, quotients and currents, Nucl. Phys. B 373 (1992) 630 [hep-th/9110053] [SPIRES].
M.T. Grisaru, H. Nishino and D. Zanon, β-functions for the Green-Schwarz superstring, Nucl. Phys. B 314 (1989) 363 [SPIRES].
E. Witten, Twistor-like transform in ten-dimensions, Nucl. Phys. B 266 (1986) 245 [SPIRES].
M.T. Grisaru, P.S. Howe, L. Mezincescu, B. Nilsson and P.K. Townsend, N = 2 superstrings in a supergravity background, Phys. Lett. B 162 (1985) 116 [SPIRES].
T. Bargheer, F. Loebbert and C. Meneghelli, Symmetries of tree-level scattering amplitudes in N = 6 superconformal Chern-Simons theory, Phys. Rev. D 82 (2010) 045016 [arXiv:1003.6120] [SPIRES].
Y.-t. Huang and A.E. Lipstein, Dual superconformal symmetry of N = 6 Chern-Simons theory, JHEP 11 (2010) 076 [arXiv:1008.0041] [SPIRES].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [SPIRES].
P.A. Grassi, D. Sorokin and L. Wulff, Simplifying superstring and D-brane actions in AdS 4 × CP(3) superbackground, JHEP 08 (2009) 060 [arXiv:0903.5407] [SPIRES].
I. Adam, A. Dekel and Y. Oz, On the fermionic T-duality of the AdS 4 × CP 3 σ-model, JHEP 10 (2010) 110 [arXiv:1008.0649] [SPIRES].
I. Bakhmatov, On AdS 4 × CP 3 T-duality, arXiv:1011.0985 [SPIRES].
L.J. Romans, Massive N = 2a supergravity in ten-dimensions, Phys. Lett. B 169 (1986) 374 [SPIRES].
E. Bergshoeff, M. de Roo, M.B. Green, G. Papadopoulos and P.K. Townsend, Duality of type II 7-branes and 8-branes, Nucl. Phys. B 470 (1996) 113 [hep-th/9601150] [SPIRES].
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ArXiv ePrint: 1008.3128
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Godazgar, H., Perry, M.J. Real fermionic symmetry in type II supergravity. J. High Energ. Phys. 2011, 32 (2011). https://doi.org/10.1007/JHEP01(2011)032
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DOI: https://doi.org/10.1007/JHEP01(2011)032