Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory

TL;DR

This paper explores the holographic duality between a four-dimensional supergravity solution and a three-dimensional N=2 gauge theory, detailing the field/operator correspondence and mass deformation effects.

Contribution

It provides a detailed holographic description of the mass-deformed Bagger-Lambert theory with specific symmetry, extending the understanding of gauge/gravity duality in N=2 theories.

Findings

Identification of the dual supergravity fields with field theory operators

Description of the mass deformation in the holographic framework

Detailed correspondence between supergravity and IR field theory operators

Abstract

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term for one of the four adjoint chiral superfields as its dual theory. A further detailed correspondence between fields of AdS_4 supergravity and composite operators of the infrared field theory is obtained.