Phase transitions in higher derivative gravity and gauge theory: R-charged black holes

TL;DR

This paper explores phase transitions in R-charged black holes with Gauss-Bonnet corrections, using an effective boundary gauge theory model to analyze bulk phases at finite temperature and coupling.

Contribution

It introduces a phenomenological effective action that captures the qualitative behavior of R-charged black holes with higher derivative corrections.

Findings

Effective action reproduces bulk phase structure

Analysis in canonical and grand canonical ensembles

Identifies phase transition characteristics

Abstract

This is a continuation of our earlier work where we constructed a phenomenologically motivated effective action of the boundary gauge theory at finite temperature and finite gauge coupling on $S^3 \times S^1$. In this paper, we argue that this effective action qualitatively reproduces the gauge theory representing various bulk phases of R-charged black hole with Gauss-Bonnet correction. We analyze the system both in canonical and grand canonical ensemble.