Thermodynamics of the brane in Chern-Simons matter theories with flavor

TL;DR

This paper investigates the thermodynamics of flavored Chern-Simons matter theories using holography, analyzing phase transitions and backreaction effects of flavors in the ABJM model at finite temperature.

Contribution

It provides a detailed holographic analysis of flavor backreaction and thermodynamics in Chern-Simons theories, including meson melting phase transition insights.

Findings

Matching free energy and entropy variations with backreacted background.

Analysis of meson melting phase transition.

Inclusion of dynamical flavors and backreaction effects.

Abstract

We study the holographic dual of flavors in a Chern-Simons matter theory at non-zero temperature, realized as D6-branes in the type IIA black hole dual in the ABJM background geometry. We consider both massive and massless flavors. The former are treated in the quenched approximation, whereas the massless ones are considered as dynamical objects and their backreaction on the geometry is included in the black hole background. We compute the holographically renormalized action of the probe by imposing several physical conditions. In the limit of massless flavors the free energy and entropy of the probe match non-trivially the first variation of these quantities for the backreacted background when the number of flavors is increased by one unit. We compute several thermodynamical functions for the system and analyze the meson melting phase transition between Minkowski and black hole embeddings.