Abstract
It was argued in [1] that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges. We show that there exists a method to embed these geometries into asymptotically-\( {\mathrm{AdS}}_3\times {S}^3/{\mathrm{\mathbb{Z}}}_N \) solutions, and hence to obtain infinite families of flows whose infrared is NHEK. This indicates that the CFT dual to the NHEK geometry is the IR fixed point of a Renormalization Group flow from a known local UV CFT and opens the door to its explicit construction.
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References
I. Bena, M. Guica and W. Song, Un-twisting the NHEK with spectral flows, JHEP 03 (2013) 028 [arXiv:1203.4227] [INSPIRE].
M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].
J.M. Bardeen and G.T. Horowitz, The extreme Kerr throat geometry: a vacuum analog of AdS 2 × S 2, Phys. Rev. D 60 (1999) 104030 [hep-th/9905099] [INSPIRE].
M. Guica and A. Strominger, Microscopic realization of the Kerr/CFT correspondence, JHEP 02 (2011) 010 [arXiv:1009.5039] [INSPIRE].
W. Song and A. Strominger, D-brane construction of the 5D NHEK dual, JHEP 07 (2012) 176 [arXiv:1105.0431] [INSPIRE].
I. Bena, N. Bobev and N.P. Warner, Spectral flow and the spectrum of multi-center solutions, Phys. Rev. D 77 (2008) 125025 [arXiv:0803.1203] [INSPIRE].
K. Goldstein and S. Katmadas, Almost BPS black holes, JHEP 05 (2009) 058 [arXiv:0812.4183] [INSPIRE].
I. Bena, G. Dall’Agata, S. Giusto, C. Ruef and N.P. Warner, Non-BPS black rings and black holes in Taub-NUT, JHEP 06 (2009) 015 [arXiv:0902.4526] [INSPIRE].
A. Castro and F. Larsen, Near extremal Kerr entropy from AdS 2 quantum gravity, JHEP 12 (2009) 037 [arXiv:0908.1121] [INSPIRE].
T. Azeyanagi, N. Ogawa and S. Terashima, The Kerr/CFT correspondence and string theory, Phys. Rev. D 79 (2009) 106009 [arXiv:0812.4883] [INSPIRE].
M.M. Sheikh-Jabbari and H. Yavartanoo, EVH black holes, AdS 3 throats and EVH/CFT proposal, JHEP 10 (2011) 013 [arXiv:1107.5705] [INSPIRE].
S. Sadeghian, M.M. Sheikh-Jabbari, M.H. Vahidinia and H. Yavartanoo, Near horizon structure of extremal vanishing horizon black holes, Nucl. Phys. B 900 (2015) 222 [arXiv:1504.03607] [INSPIRE].
S. El-Showk and M. Guica, Kerr/CFT, dipole theories and nonrelativistic CFTs, JHEP 12 (2012) 009 [arXiv:1108.6091] [INSPIRE].
D.M. Hofman and A. Strominger, Chiral scale and conformal invariance in 2D quantum field theory, Phys. Rev. Lett. 107 (2011) 161601 [arXiv:1107.2917] [INSPIRE].
T. Azeyanagi, D.M. Hofman, W. Song and A. Strominger, The spectrum of strings on warped AdS 3 × S 3, JHEP 04 (2013) 078 [arXiv:1207.5050] [INSPIRE].
S. Detournay, T. Hartman and D.M. Hofman, Warped conformal field theory, Phys. Rev. D 86 (2012) 124018 [arXiv:1210.0539] [INSPIRE].
D.M. Hofman and B. Rollier, Warped conformal field theory as lower spin gravity, Nucl. Phys. B 897 (2015) 1 [arXiv:1411.0672] [INSPIRE].
J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].
G. Compère, K. Hajian, A. Seraj and M.M. Sheikh-Jabbari, Wiggling throat of extremal black holes, JHEP 10 (2015) 093 [arXiv:1506.07181] [INSPIRE].
I. Bena and P. Kraus, Microscopic description of black rings in AdS/CFT, JHEP 12 (2004) 070 [hep-th/0408186] [INSPIRE].
G. Dall’Agata, S. Giusto and C. Ruef, U-duality and non-BPS solutions, JHEP 02 (2011) 074 [arXiv:1012.4803] [INSPIRE].
B.E. Niehoff and N.P. Warner, Doubly-fluctuating BPS solutions in six dimensions, JHEP 10 (2013) 137 [arXiv:1303.5449] [INSPIRE].
I. Bena, S. Giusto, R. Russo, M. Shigemori and N.P. Warner, Habemus superstratum! A constructive proof of the existence of superstrata, JHEP 05 (2015) 110 [arXiv:1503.01463] [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].
I. Bena, N. Bobev, C. Ruef and N.P. Warner, Supertubes in bubbling backgrounds: Born-Infeld meets supergravity, JHEP 07 (2009) 106 [arXiv:0812.2942] [INSPIRE].
I. Bena and N.P. Warner, One ring to rule them all…and in the darkness bind them?, Adv. Theor. Math. Phys. 9 (2005) 667 [hep-th/0408106] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, General concentric black rings, Phys. Rev. D 71 (2005) 045002 [hep-th/0408122] [INSPIRE].
I. Bena, H. Triendl and B. Vercnocke, Black holes and fourfolds, JHEP 08 (2012) 124 [arXiv:1206.2349] [INSPIRE].
P. Berglund, E.G. Gimon and T.S. Levi, Supergravity microstates for BPS black holes and black rings, JHEP 06 (2006) 007 [hep-th/0505167] [INSPIRE].
G. Bossard, Octonionic black holes, JHEP 05 (2012) 113 [arXiv:1203.0530] [INSPIRE].
B. Bates and F. Denef, Exact solutions for supersymmetric stationary black hole composites, JHEP 11 (2011) 127 [hep-th/0304094] [INSPIRE].
I. Bena, P. Kraus and N.P. Warner, Black rings in Taub-NUT, Phys. Rev. D 72 (2005) 084019 [hep-th/0504142] [INSPIRE].
I. Bena, B.D. Chowdhury, J. de Boer, S. El-Showk and M. Shigemori, Moulting black holes, JHEP 03 (2012) 094 [arXiv:1108.0411] [INSPIRE].
I. Bena, A. Puhm, O. Vasilakis and N.P. Warner, Almost BPS but still not renormalized, JHEP 09 (2013) 062 [arXiv:1303.0841] [INSPIRE].
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ArXiv ePrint: 1510.08055
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Bena, I., Heurtier, L. & Puhm, A. AdS3: the NHEK generation. J. High Energ. Phys. 2016, 120 (2016). https://doi.org/10.1007/JHEP05(2016)120
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DOI: https://doi.org/10.1007/JHEP05(2016)120