D3-D5 Holography with Flux

TL;DR

This paper demonstrates that a phase transition in D3-D5 brane systems can be induced by tuning an extra-dimensional magnetic flux, revealing new insights into chiral symmetry breaking in holographic models.

Contribution

It introduces a novel method of inducing the Berezinski-Kosterlitz-Thouless phase transition via magnetic flux tuning in D3-D5 systems, expanding understanding of holographic phase transitions.

Findings

Numerical solutions for D5-brane embeddings were obtained.

The phase transition can be triggered by magnetic flux tuning.

Some embeddings exhibit spontaneous chiral symmetry breaking.

Abstract

It is shown that the Berezinski-Kosterlitz-Thouless phase transition that has been found in D3-D5 brane systems with nonzero magnetic field and charge density can also be found by tuning an extra-dimensional magnetic flux. We find numerical solutions for the probe D5-brane embedding and discuss properties of the solutions. We also demonstrate that the nontrivial embeddings include those which can be regarded as spontaneously breaking chiral symmetry.