Branes, Orbifolds and the Three Dimensional ${\cal N} = 2$ SCFT in the Large N limit

TL;DR

This paper explores the large N limit of three-dimensional ${ m N}=2$ superconformal field theories and their correspondence with M theory on orbifold backgrounds, identifying brane configurations and analyzing spectra of operators.

Contribution

It introduces a brane configuration for M theory on $C^3/Z_3$ and derives properties of chiral primary operators at orbifold singularities.

Findings

Identified brane configurations for M theory on orbifolds.

Analyzed Kaluza-Klein spectrum to extract operator information.

Connected supergravity spectra with field theory operators.

Abstract

We study the correspondence between the large $N$ limit of ${\cal N} = 2$ three dimensional superconformal field theories and M theory on orbifolds of $AdS_4 \times {\bf S^7}$. We identify the brane configuration which gives $C^3/Z_3$ as a background for the M theory in terms of a Brane Box Model or a (p, q) web model. By taking the orbifold projection on the known spectrum of Kaluza-Klein harmonics of supergravity, we obtain information about the chiral primary operators at the orbifold singularities.