Abstract
It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.
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References
R. Emparan and H.S. Reall, A Rotating black ring solution in five-dimensions, Phys. Rev. Lett. 88 (2002) 101101 [hep-th/0110260] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, Supersymmetric black rings and three-charge supertubes, Phys. Rev. D 71 (2005) 024033 [hep-th/0408120] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, A Supersymmetric black ring, Phys. Rev. Lett. 93 (2004) 211302 [hep-th/0407065] [INSPIRE].
J.B. Gutowski and H.S. Reall, Supersymmetric AdS 5 black holes, JHEP 02 (2004) 006 [hep-th/0401042] [INSPIRE].
J.B. Gutowski and H.S. Reall, General supersymmetric AdS 5 black holes, JHEP 04 (2004) 048 [hep-th/0401129] [INSPIRE].
Z.-W. Chong, M. Cvetič, H. Lü and C.N. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity, Phys. Rev. Lett. 95 (2005) 161301 [hep-th/0506029] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, Five-dimensional gauged supergravity black holes with independent rotation parameters, Phys. Rev. D 72 (2005) 041901 [hep-th/0505112] [INSPIRE].
H.K. Kunduri, J. Lucietti and H.S. Reall, Supersymmetric multi-charge AdS 5 black holes, JHEP 04 (2006) 036 [hep-th/0601156] [INSPIRE].
A.H. Chamseddine and W.A. Sabra, Magnetic strings in five-dimensional gauged supergravity theories, Phys. Lett. B 477 (2000) 329 [hep-th/9911195] [INSPIRE].
D. Klemm and W.A. Sabra, Supersymmetry of black strings in D = 5 gauged supergravities, Phys. Rev. D 62 (2000) 024003 [hep-th/0001131] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, All supersymmetric solutions of minimal gauged supergravity in five-dimensions, Phys. Rev. D 68 (2003) 105009 [Erratum ibid. D 70 (2004) 089901] [hep-th/0304064] [INSPIRE].
J.B. Gutowski and W. Sabra, General supersymmetric solutions of five-dimensional supergravity, JHEP 10 (2005) 039 [hep-th/0505185] [INSPIRE].
S.L. Cacciatori, D. Klemm and W.A. Sabra, Supersymmetric domain walls and strings in D = 5 gauged supergravity coupled to vector multiplets, JHEP 03 (2003) 023 [hep-th/0302218] [INSPIRE].
K. Behrndt, A.H. Chamseddine and W.A. Sabra, BPS black holes in N = 2 five-dimensional AdS supergravity, Phys. Lett. B 442 (1998) 97 [hep-th/9807187] [INSPIRE].
D. Klemm and W.A. Sabra, Charged rotating black holes in 5 − D Einstein-Maxwell (A)dS gravity, Phys. Lett. B 503 (2001) 147 [hep-th/0010200] [INSPIRE].
D. Klemm and W.A. Sabra, General (anti-)de Sitter black holes in five-dimensions, JHEP 02 (2001) 031 [hep-th/0011016] [INSPIRE].
J. Grover, J.B. Gutowski and W. Sabra, Vanishing preons in the fifth dimension, Class. Quant. Grav. 24 (2007) 417 [hep-th/0608187] [INSPIRE].
J.M. Figueroa-O’Farrill, J. Gutowski and W. Sabra, The Return of the four- and five-dimensional preons, Class. Quant. Grav. 24 (2007) 4429 [arXiv:0705.2778] [INSPIRE].
J.B. Gutowski and W.A. Sabra, Half-Supersymmetric Solutions in Five-Dimensional Supergravity, JHEP 12 (2007) 025 [Erratum ibid. 1004 (2010) 042] [arXiv:0706.3147] [INSPIRE].
J. Grover, J.B. Gutowski and W. Sabra, Null Half-Supersymmetric Solutions in Five-Dimensional Supergravity, JHEP 10 (2008) 103 [arXiv:0802.0231] [INSPIRE].
J. Gillard, U. Gran and G. Papadopoulos, The Spinorial geometry of supersymmetric backgrounds, Class. Quant. Grav. 22 (2005) 1033 [hep-th/0410155] [INSPIRE].
U. Gran, J. Gutowski and G. Papadopoulos, The Spinorial geometry of supersymmetric IIB backgrounds, Class. Quant. Grav. 22 (2005) 2453 [hep-th/0501177] [INSPIRE].
U. Gran, P. Lohrmann and G. Papadopoulos, The Spinorial geometry of supersymmetric heterotic string backgrounds, JHEP 02 (2006) 063 [hep-th/0510176] [INSPIRE].
J.B. Gutowski and W.A. Sabra, Enhanced Horizons, Class. Quant. Grav. 27 (2010) 235011 [arXiv:0807.4714] [INSPIRE].
J. Grover, J.B. Gutowski, G. Papadopoulos and W.A. Sabra, Index Theory and Supersymmetry of 5D Horizons, JHEP 06 (2014) 020 [arXiv:1303.0853] [INSPIRE].
H.K. Kunduri, J. Lucietti and H.S. Reall, Do supersymmetric anti-de Sitter black rings exist?, JHEP 02 (2007) 026 [hep-th/0611351] [INSPIRE].
J. Grover and J. Gutowski, Horizons in de-Sitter Supergravity, JHEP 04 (2010) 009 [arXiv:1001.2460] [INSPIRE].
H.K. Kunduri and J. Lucietti, Near-horizon geometries of supersymmetric AdS 5 black holes, JHEP 12 (2007) 015 [arXiv:0708.3695] [INSPIRE].
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ArXiv ePrint: 1306.0017
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Grover, J., Gutowski, J. & Sabra, W.A. Non-existence of supersymmetric AdS 5 black rings. J. High Energ. Phys. 2014, 27 (2014). https://doi.org/10.1007/JHEP11(2014)027
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DOI: https://doi.org/10.1007/JHEP11(2014)027