Confinement in $(1+1)$ dimensions: a holographic perspective from I-branes

TL;DR

This paper explores the strongly coupled dynamics of I-brane field theories using holography, addressing IR singularities and analyzing phenomena like confinement, symmetry breaking, and entanglement entropy in a compactified setting.

Contribution

It provides a holographic analysis of I-brane field theories, resolving IR singularities via compactification and studying key physical phenomena in this framework.

Findings

Demonstrates confinement and symmetry breaking in the model

Resolves IR singularity through circle compactification

Analyzes entanglement entropy and black membrane solutions

Abstract

In this paper we holographically study the strongly coupled dynamics of the field theory on I-branes (D5 branes intersecting on a line). In this regime, the field theory becomes $(2 + 1)$ dimensional with 16 supercharges. The dual background has an IR singularity. We resolve this singularity by compactifying the theory on a circle, preserving 4 supercharges. We study various aspects: confinement, symmetry breaking, Entanglement Entropy, etc. We also discuss a black membrane solution and make some comments on the string $\sigma$-model on our backgrounds.