N=8 SCFT and M Theory on AdS_4 x RP^7

TL;DR

This paper explores M theory on AdS_4 x RP^7, analyzing wrapped branes and their roles as baryon vertices and domain walls in the dual 3D superconformal field theories with different gauge groups.

Contribution

It classifies wrapping branes in M theory on AdS_4 x RP^7 and interprets their roles in dual 3D superconformal field theories with various gauge groups.

Findings

Wrapped M5 branes act as baryon vertices in SU(N) theories.

Classification of branes in SO(N)/Sp(2N) theories using (co-)homology.

Analysis of domain walls in different gauge group theories.

Abstract

We study M theory on $AdS_4 \times \RP^7$ corresponding to 3 dimensional ${\cal N}=8$ superconformal field theory which is the strong coupling limit of 3 dimensional super Yang-Mills theory. For SU(N) theory, a wrapped M5 brane on $\RP^5$ can be interpreted as baryon vertex. For $SO(N)/Sp(2N)$ theory, by using the property of (co-)homology of $\RP^7$, we classify various wrapping branes and consider domain walls and the baryon vertex.