Localised AdS5 x S5 black holes
Localised AdS5 x S5 black holes
According to heuristic arguments, global AdS5×S5 black holes are expected to undergo a phase transition in the microcanonical ensemble. At high energies, one expects black holes that respect the symmetries of the S5; at low energies, one expects “localized” black holes that appear pointlike on the S5. According to anti–de Sitter/conformal field theory correspondence, N=4 supersymmetric Yang-Mills (SYM) theory on a 3-sphere should therefore exhibit spontaneous R-symmetry breaking at strong coupling. In this Letter, we numerically construct these localized black holes. We extrapolate the location of this phase transition, and compute the expectation value of the broken scalar operator with lowest conformal dimension. Via the correspondence, these results offer quantitative predictions for N=4 SYM theory
Dias, Oscar J C
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Way, Benson
1e1e0adb-944f-4f8c-86b2-deea894e99b4
3 October 2016
Dias, Oscar J C
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Way, Benson
1e1e0adb-944f-4f8c-86b2-deea894e99b4
Dias, Oscar J C, Santos, Jorge E. and Way, Benson
(2016)
Localised AdS5 x S5 black holes.
Physical Review Letters, 15 (117), [151101].
(doi:10.1103/PhysRevLett.117.151101).
Abstract
According to heuristic arguments, global AdS5×S5 black holes are expected to undergo a phase transition in the microcanonical ensemble. At high energies, one expects black holes that respect the symmetries of the S5; at low energies, one expects “localized” black holes that appear pointlike on the S5. According to anti–de Sitter/conformal field theory correspondence, N=4 supersymmetric Yang-Mills (SYM) theory on a 3-sphere should therefore exhibit spontaneous R-symmetry breaking at strong coupling. In this Letter, we numerically construct these localized black holes. We extrapolate the location of this phase transition, and compute the expectation value of the broken scalar operator with lowest conformal dimension. Via the correspondence, these results offer quantitative predictions for N=4 SYM theory
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IIBlocalised_total.pdf
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Accepted/In Press date: 3 October 2016
e-pub ahead of print date: 3 October 2016
Published date: 3 October 2016
Organisations:
Applied Mathematics
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Local EPrints ID: 405794
URI: http://eprints.soton.ac.uk/id/eprint/405794
PURE UUID: df79bab8-61b7-4ee0-b5d1-463e36eefcd3
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Date deposited: 18 Feb 2017 00:21
Last modified: 16 Mar 2024 04:18
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Author:
Jorge E. Santos
Author:
Benson Way
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