Anti de Sitter Geometry and Strongly Coupled Gauge Theories

TL;DR

This paper constructs supergravity duals for certain three-dimensional fixed points with ADE symmetries, linking gauge theories and geometry in the context of AdS/CFT correspondence.

Contribution

It introduces supergravity solutions corresponding to non-trivial fixed points in 3D gauge theories with ADE symmetries, expanding the AdS/CFT framework.

Findings

Identification of fixed point symmetries with space-time symmetries

Construction of supergravity duals for specific gauge theories

Extension of AdS/CFT correspondence to new fixed points

Abstract

We propose supergravity duals to non-trivial fixed points of the renormalization group in three dimensions with ADE global symmetries. All the fixed point symmetries are identified with space-time symmetries.