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- Title
Topology of critical points in boundary matrix duals.
- Authors
Yerra, Pavan Kumar; Bhamidipati, Chandrasekhar; Mukherji, Sudipta
- Abstract
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 = 4, SU(N) Super Yang-Mills theory on S3 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.
- Subjects
CRITICAL point (Thermodynamics); SCHWARZSCHILD black holes; PHASE transitions; YANG-Mills theory; CHEMICAL models; CRITICAL point theory
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 3, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP03(2024)138