Confinement in Anti-de Sitter Space

TL;DR

This paper investigates the phase transition between confinement and deconfinement in four-dimensional gauge theories within anti-de Sitter space, examining mechanisms and dynamics both with and without gravity influence.

Contribution

It provides new insights into the mechanisms driving confinement transitions and explores the dynamics of supersymmetric gauge theories in anti-de Sitter space.

Findings

Identification of phase transition mechanisms

Analysis of gauge theories with gravity effects

Observations on supersymmetric gauge dynamics

Abstract

Four dimensional gauge theories in anti-de Sitter space, including pure Yang-Mills theory, exhibit a quantum phase transition between a deconfined phase and a confined phase as the gauge coupling is varied. We explore various mechanisms by which this may occur, both in a fixed background and in the presence of gravity. We also make a number of observations on the dynamics of four dimensional supersymmetric gauge theories in anti-de Sitter space.