M Theory on AdS_p x S^{11-p} and Superconformal Field Theories

TL;DR

This paper explores the spectra of chiral operators in various superconformal field theories related to M2 and M5 branes using M theory on AdS spaces, providing new insights into previously less understood theories.

Contribution

It analyzes the spectrum of chiral operators in multiple superconformal theories associated with M2 and M5 branes, extending understanding to theories with singularities and in the large N limit.

Findings

Spectrum of chiral operators for 6d (0,2) theories with M5 branes confirmed.

Spectrum for 3d N=8 theories with M2 branes determined for the first time.

Results agree with previous DLCQ descriptions where available.

Abstract

We study the large N limit of the interacting superconformal field theories associated with N M5 branes or M2 branes using the recently proposed relation between these theories and M theory on AdS spaces. We first analyze the spectrum of chiral operators of the 6d (0,2) theory associated with M5 branes in flat space, and find full agreement with earlier results obtained using its DLCQ description as quantum mechanics on a moduli space of instantons. We then perform a similar analysis for the D_N type 6d (0,2) theories associated with M5 branes at an R^5/Z_2 singularity, and for the 3d N=8 superconformal field theories associated with M2 branes in flat space and at an R^8/Z_2 singularity respectively. Little is known about these three theories, and our study yields for the first time their spectrum of chiral operators (in the large N limit).