Formula omitted] SCFT and M theory on AdS4× Q1,1,1

Abstract

Coincident M2 branes at a conical singularity are related to M theory on AdS 4× X 7 for an appropriate 7 dimensional Sasaki-Einstein manifold X 7. For X 7= Q 1,1,1=( SU(2)× SU(2)× SU(2))/( U(1)× U(1)) which was found sometime ago, the infrared limit of the theory on N M2 branes was constructed recently. It is the SU( N)× SU( N)× SU( N) gauge theories with three series of chiral fields A i , i=1,2 transforming in the (N, N,1) representation, B j , j=1,2 transforming in the (1,N, N) representation and C k , k=1,2 transforming in the ( N,1,N) representation. From the scalar Laplacian of X 7 on the supergravity side, we discuss the spectrum of chiral primary operators of dual N=2 superconformal field theory in 3 dimensions. We study M5 branes wrapped over 5-cycle of X 7 which were identified as (three types of) baryon like operators made out of N chiral fields recently. We consider M5 brane wrapped over 3-cycle of X 7 which plays the role of domain wall in AdS 4. The new aspect arises when baryon like operators (M5 branes wrapped over 5-cycle) cross a domain wall (M5 brane wrapped over 3-cycle), M2 brane between them must be created.