N=2 SCFT and M Theory on AdS_4 x Q^{1,1,1}

TL;DR

This paper explores the AdS_4/CFT_3 correspondence for M2 branes at a Q^{1,1,1} singularity, analyzing the spectrum of operators, baryon-like states, and domain wall interactions in the dual superconformal field theory.

Contribution

It provides a detailed spectrum analysis of chiral operators and studies M5 brane configurations, revealing new M2 brane creation phenomena during baryon and domain wall interactions.

Findings

Spectrum of chiral primary operators derived from scalar Laplacian.

Identification of baryon-like operators as wrapped M5 branes.

Discovery of M2 brane creation when baryons cross domain walls.

Abstract

Coincident M2 branes at a conical singularity are related to M theory on AdS_4 x X_7 for an appropriate 7 dimensional Sasaki-Einstein manifold X_7. For X_7=Q^{1,1,1}=(SU(2) x SU(2) x SU(2))/(U(1) x 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) x SU(N) x SU(N) gauge theories with three series of chiral fields A_i, i=1,2 transforming in the (N, \bar{N},1) representation, B_j, j=1,2 transforming in the (1,N, \bar{N}) representation and C_k, k=1,2 transforming in the (\bar{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.