Continuous distributions of D3-branes and gauged supergravity

TL;DR

This paper explores supersymmetric solutions in gauged supergravity related to D3-branes, revealing a mass gap and screening effects, interpreted through brane distributions, advancing understanding of Coulomb branch states in super-Yang-Mills theory.

Contribution

It provides new supersymmetric solutions in five-dimensional gauged supergravity that model Coulomb branch states and interprets their features via brane distributions, connecting supergravity and gauge theory.

Findings

Mass gap for local operator states

Perfect screening for external quarks

Solutions correspond to brane distributions

Abstract

States on the Coulomb branch of N=4 super-Yang-Mills theory are studied from the point of view of gauged supergravity in five dimensions. These supersymmetric solutions provide examples of consistent truncation from type IIB supergravity in ten dimensions. A mass gap for states created by local operators and perfect screening for external quarks arise in the supergravity approximation. We offer an interpretation of these surprising features in terms of ensembles of brane distributions.