Topology of critical points in boundary matrix duals - INSPIRE

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Topology of critical points in boundary matrix duals

Apr 28, 2023

27 pages

Published in:

JHEP 03 (2024) 138

Published: Mar 22, 2024

e-Print:

2304.14988 [hep-th]

DOI:

10.1007/JHEP03(2024)138

View in:

ADS Abstract Service

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Abstract: (Springer)

Computation of topological charges of the Schwarzschild and charged black holes in AdS in canonical and grand canonical ensembles allows for a classification of the phase transition points via the Bragg-Williams off-shell free energy. We attempt a topological classification of the critical points and the equilibrium phases of the dual gauge theory via a phenomenological matrix model, which captures the features of the

\mathcal{N}

= 4, SU(N) Super Yang-Mills theory on S

^{3}

at finite temperature at large N. With minimal modification of parameters, critical points of the matrix model at finite chemical potential can be classified as well. The topological charges of locally stable and unstable dynamical phases of the system turn out to be opposite to each other, totalling to zero, and this matches the analysis in the bulk.

Note:

v1: 23 pages, 17 figures; v2: 27 pages, 18 figures, 2 Appendices, version to appear in JHEP

AdS-CFT Correspondence
Black Holes
Matrix Models
charge: topological
black hole: charge
potential: chemical
gauge field theory: SU(N)
critical phenomena
matrix model
finite temperature

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