Large N Gauge Theories and Anti-de Sitter Bag Model

TL;DR

This paper explores the large N limit of gauge theories via supergravity in anti-de Sitter space, proposing a novel AdS bag model that links black holes, confinement, and the MIT bag model through curvature and cosmological constant considerations.

Contribution

It introduces the AdS bag model, connecting black hole physics with quark confinement and the MIT bag model using supergravity solutions in AdS space.

Findings

Black holes interpreted as hadronic bags in SQCD.

Confining pressure related to the cosmological constant.

Cheshire Cat bag principle naturally emerges.

Abstract

Using a proposal of Maldacena one describes the large N limit of gauge theories in terms of supergravity solutions on anti-de Sitter space. From this point of view we discuss a possible scenario for quark confinement in gauge theory by describing hadrons as strongly curved universes. In particular an interpretation of black hole as a bag model in SQCD is discussed. One relates the mystery of curvature singularities in classical general relativity with the mystery of quark confinement. The AdS bag model is defined by computing the probe membrane action in supergravity background. It naturally implies the "Cheshire Cat bag" principle. The confining pressure in the MIT bag model is related with the cosmological constant in the AdS bag model. The Skyrme model is interpreted as an effective theory describing black holes.