Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory

TL;DR

This paper explores the holographic dual of a mass-deformed N=1 superconformal Chern-Simons theory, establishing detailed correspondences between supergravity fields and operators in the IR field theory, with geometric insights from M2-brane analysis.

Contribution

It provides a detailed holographic description of a mass-deformed N=1 superconformal Chern-Simons theory, including supergravity-operator correspondence and geometric superpotential analysis.

Findings

Established field-operator correspondence in the IR regime.

Derived the geometric superpotential from eleven-dimensional supergravity.

Analyzed the mass deformation effects on the holographic dual.

Abstract

As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level k=1 or 2, that has G_2 symmetry, by adding a mass term for one of the eight adjoint superfields. We obtain a detailed correspondence between the fields of AdS_4 supergravity and composite operators of the infrared field theory in three dimensions. The geometric superpotential from an eleven dimensional viewpoint is obtained for M2-brane probe analysis.