Abstract
Four-dimensional \( \mathcal{N} \) = 2 gauged STU supergravity is a consistent truncation of the standard \( \mathcal{N} \) = 8 gauged SO(8) supergravity in which just the four U(1) gauge fields in the Cartan subgroup of SO(8) are retained. One of these is the graviphoton in the \( \mathcal{N} \) = 2 supergravity multiplet and the other three lie in three vector multiplets. In this paper we carry out the analogous consistent truncation of the newly-discovered family of ω-deformed \( \mathcal{N} \) = 8 gauged SO(8) supergravities, there by obtaining a family of ω-deformed STU gauged supergravities. Unlike in some other truncations of the deformed \( \mathcal{N} \) = 8 supergravity that have been considered, here the scalar potential of the deformed STU theory is independent of the ω parameter. However, it enters in the scalar couplings in the gauge-field kinetic terms, and it is non-trivial because of the minimal couplings of the fermion fields to the gauge potentials. We discuss the supersymmetry transformation rules in the ω-deformed supergravities, and present some examples of black hole solutions.
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References
B. de Wit and H. Nicolai, N = 8 supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].
B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 4 supergravities, JHEP 06 (2007) 049 [arXiv:0705.2101] [INSPIRE].
G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].
B. de Wit and H. Nicolai, Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions, JHEP 05 (2013) 077 [arXiv:1302.6219] [INSPIRE].
A. Borghese, A. Guarino and D. Roest, All G 2 invariant critical points of maximal supergravity, JHEP 12 (2012) 108 [arXiv:1209.3003] [INSPIRE].
A. Borghese, G. Dibitetto, A. Guarino, D. Roest and O. Varela, The SU(3)-invariant sector of new maximal supergravity, JHEP 03 (2013) 082 [arXiv:1211.5335] [INSPIRE].
A. Borghese, A. Guarino and D. Roest, Triality, periodicity and stability of SO(8) gauged supergravity, JHEP 05 (2013) 107 [arXiv:1302.6057] [INSPIRE].
J. Blabäck, A. Borghese and S.S. Haque, Power-law cosmologies in minimal and maximal gauged supergravity, JHEP 06 (2013) 107 [arXiv:1303.3258] [INSPIRE].
A. Guarino, On new maximal supergravity and its BPS domain-walls, JHEP 02 (2014) 026 [arXiv:1311.0785] [INSPIRE].
J. Tarrío and O. Varela, Electric/magnetic duality and RG flows in AdS4/CFT3, JHEP 01 (2014) 071 [arXiv:1311.2933] [INSPIRE].
A. Anabalon and D. Astefanesei, Black holes in ω-defomed gauged N = 8 supergravity, arXiv:1311.7459 [INSPIRE].
M.J. Duff, J.T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality, Nucl. Phys. B 459 (1996) 125 [hep-th/9508094] [INSPIRE].
M. de Roo and P. Wagemans, Gauge matter coupling in N = 4 supergravity, Nucl. Phys. B 262 (1985) 644 [INSPIRE].
M.J. Duff and J.T. Liu, Anti-de Sitter black holes in gauged N = 8 supergravity, Nucl. Phys. B 554 (1999) 237 [hep-th/9901149] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge U.K. (2012) [INSPIRE].
E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].
Z.-W. Chong, M. Cvetič, H. Lü and C.N. Pope, Charged rotating black holes in four-dimensional gauged and ungauged supergravities, Nucl. Phys. B 717 (2005) 246 [hep-th/0411045] [INSPIRE].
M. Cvetič and D. Youm, Entropy of nonextreme charged rotating black holes in string theory, Phys. Rev. D 54 (1996) 2612 [hep-th/9603147] [INSPIRE].
E. Cremmer, B. Julia, H. Lü and C.N. Pope, Higher dimensional origin of D = 3 coset symmetries, hep-th/9909099 [INSPIRE].
H. Lü, J. Mei and C.N. Pope, New charged black holes in five dimensions, Class. Quant. Grav. 27 (2010) 075013 [arXiv:0806.2204] [INSPIRE].
A. Donos, J.P. Gauntlett, J. Sonner and B. Withers, Competing orders in M-theory: superfluids, stripes and metamagnetism, JHEP 03 (2013) 108 [arXiv:1212.0871] [INSPIRE].
H. Lü, Y. Pang and C.N. Pope, AdS dyonic black hole and its thermodynamics, JHEP 11 (2013) 033 [arXiv:1307.6243] [INSPIRE].
D.D.K. Chow, Single-charge rotating black holes in four-dimensional gauged supergravity, Class. Quant. Grav. 28 (2011) 032001 [arXiv:1011.2202] [INSPIRE].
S.-Q. Wu, General rotating charged Kaluza-Klein AdS black holes in higher dimensions, Phys. Rev. D 83 (2011) 121502 [arXiv:1108.4157] [INSPIRE].
D.D.K. Chow, Two-charge rotating black holes in four-dimensional gauged supergravity, Class. Quant. Grav. 28 (2011) 175004 [arXiv:1012.1851] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Four-dimensional N = 4, SO(4) gauged supergravity from D = 11, Nucl. Phys. B 574 (2000) 761 [hep-th/9910252] [INSPIRE].
D.B. Westra, Symmetries in \( \mathcal{N} \) = 4 supergravities, Ph.D. Thesis, Groningen University (2006) [ISBN 9064640270, 9789064640278].
D.D.K. Chow and G. Compère, Dyonic AdS black holes in maximal gauged supergravity, Phys. Rev. D 89 (2014) 065003 [arXiv:1311.1204] [INSPIRE].
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ArXiv ePrint: 1402.1994
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Lü, H., Pang, Y. & Pope, C.N. An ω deformation of gauged STU supergravity. J. High Energ. Phys. 2014, 175 (2014). https://doi.org/10.1007/JHEP04(2014)175
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DOI: https://doi.org/10.1007/JHEP04(2014)175