M Theory on the Stiefel manifold and 3d Conformal Field Theories

TL;DR

This paper analyzes M theory compactified on a Stiefel manifold, computing spectra and deducing the dual 3D N=2 conformal field theory's operator content via AdS/CFT correspondence.

Contribution

It provides the first detailed spectrum analysis of M theory on V(5,2) and proposes a candidate gauge theory dual at strong coupling.

Findings

Mass and multiplet spectrum of M theory on V(5,2) computed

Primary operator content of the dual CFT deduced

Candidate supersymmetric gauge theory proposed

Abstract

We compute the mass and multiplet spectrum of M theory compactified on the product of AdS(4) spacetime by the Stiefel manifold V(5,2)=SO(5)/SO(3), and we use this information to deduce via the AdS/CFT map the primary operator content of the boundary N=2 conformal field theory. We make an attempt for a candidate supersymmetric gauge theory that, at strong coupling, should be related to parallel M2-branes on the singular point of the non-compact Calabi-Yau four-fold $\sum_{a=1}^5 z_a^2 = 0$, describing the cone on V(5,2).