New phases of N = 4 SYM at finite chemical potential
New phases of N = 4 SYM at finite chemical potential
We do a systematic search of supergravity solutions that, via the AdS
5/CFT
4 correspondence, are dual to thermal states in N = 4 SYM at finite chemical potential. These solutions dominate the microcanonical ensemble and are required to ultimately reproduce the microscopic entropy of AdS black holes. Using a mix of analytical and numerical methods, we construct and study static charged hairy solitonic and black hole solutions with global AdS
5 asymptotics. They are constructed in two distinct consistent truncations of five dimensional gauged supergravity (and can thus be uplifted to asymptotically AdS
5×S
5 solutions of type IIB supergravity). In the “single charge” truncation which consists of one charged scalar field, hairy black holes exist above a critical charge and merge with the known Behrndt-Cvetič-Sabra (BCS) black holes along a curve determined by the onset of superradiance in the latter family. The lowest mass hairy black hole is a singular zero entropy soliton. In the “two charge” truncation which consists of a two equal charged scalar fields, hairy black holes exist for all charges and merge with the known BCS black holes along their superradiant onset curve. The lowest mass hairy black hole is a smooth supersymmetric zero entropy soliton. Together with the known phases of the truncation with three equal charges, our findings permit a good understanding of the full phase space of SYM thermal states with three arbitrary chemical potentials.
hep-th, Black Holes in String Theory, Black Holes, AdS-CFT Correspondence, Gauge-Gravity Correspondence
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Mitra, Prahar
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Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
8 May 2023
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Mitra, Prahar
3bc62279-2b31-44c1-8b66-76062e702dd9
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Dias, Oscar J. C., Mitra, Prahar and Santos, Jorge E.
(2023)
New phases of N = 4 SYM at finite chemical potential.
Journal of High Energy Physics, 2023 (5), [53].
(doi:10.1007/JHEP05(2023)053).
Abstract
We do a systematic search of supergravity solutions that, via the AdS
5/CFT
4 correspondence, are dual to thermal states in N = 4 SYM at finite chemical potential. These solutions dominate the microcanonical ensemble and are required to ultimately reproduce the microscopic entropy of AdS black holes. Using a mix of analytical and numerical methods, we construct and study static charged hairy solitonic and black hole solutions with global AdS
5 asymptotics. They are constructed in two distinct consistent truncations of five dimensional gauged supergravity (and can thus be uplifted to asymptotically AdS
5×S
5 solutions of type IIB supergravity). In the “single charge” truncation which consists of one charged scalar field, hairy black holes exist above a critical charge and merge with the known Behrndt-Cvetič-Sabra (BCS) black holes along a curve determined by the onset of superradiance in the latter family. The lowest mass hairy black hole is a singular zero entropy soliton. In the “two charge” truncation which consists of a two equal charged scalar fields, hairy black holes exist for all charges and merge with the known BCS black holes along their superradiant onset curve. The lowest mass hairy black hole is a smooth supersymmetric zero entropy soliton. Together with the known phases of the truncation with three equal charges, our findings permit a good understanding of the full phase space of SYM thermal states with three arbitrary chemical potentials.
Text
JHEP05(2023)053 (1)
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More information
Accepted/In Press date: 11 April 2023
Published date: 8 May 2023
Additional Information:
Funding Information:
We would like to thank Daniel Kapec, R. Loganayagam, Abhishek Pathak and Andrew Strominger for many useful conversations. We would like to especially thank Shiraz Minwalla for extensive discussions in the early stages of this work and Nicholas Warner for useful comments on a draft of our manuscript. The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. O. C. D. acknowledges financial support from the STFC “Particle Physics Grants Panel (PPGP) 2018” Grant No. ST/T000775/1. P. M. and J. E. S. work have been partially supported by STFC consolidated grant ST/T000694/1. P. M. acknowledges support from Birla Institute of Technology and Science and Tata Institute of Fundamental Research in the early stages of this research.
Funding Information:
We would like to thank Daniel Kapec, R. Loganayagam, Abhishek Pathak and Andrew Strominger for many useful conversations. We would like to especially thank Shiraz Minwalla for extensive discussions in the early stages of this work and Nicholas Warner for useful comments on a draft of our manuscript. The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. O. C. D. acknowledges financial support from the STFC “Particle Physics Grants Panel (PPGP) 2018” Grant No. ST/T000775/1. P. M. and J. E. S. work have been partially supported by STFC consolidated grant ST/T000694/1. P. M. acknowledges support from Birla Institute of Technology and Science and Tata Institute of Fundamental Research in the early stages of this research.
Publisher Copyright:
© 2023, The Author(s).
Keywords:
hep-th, Black Holes in String Theory, Black Holes, AdS-CFT Correspondence, Gauge-Gravity Correspondence
Identifiers
Local EPrints ID: 470016
URI: http://eprints.soton.ac.uk/id/eprint/470016
ISSN: 1126-6708
PURE UUID: bfbc133f-78e6-44c8-882c-1633430f9877
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Date deposited: 30 Sep 2022 16:38
Last modified: 17 Mar 2024 03:35
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Contributors
Author:
Prahar Mitra
Author:
Jorge E. Santos
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