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

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.

15 pages, latex, no figures

References in corpus (1)

• Branes at $\C^4/\Ga$ Singularity from Toric Geometry

Cited by in corpus (17)

• Brane Tilings and Their Applications
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• Gravity Duals of Fractional Branes in Various Dimensions
• Toric AdS4/CFT3 duals and M-theory Crystals
• Superconformal field theories from crystal lattices
• Marginal Deformations with U(1)^3 Global Symmetry
• M2-brane Probe Dynamics and Toric Duality
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• More on Penrose Limit of AdS_4 x Q^{1,1,1}
• Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• Comments on Penrose Limit of AdS_4 x M^{1,1,1}
• Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge
• Penrose Limit of AdS_4 x N^{0,1,0} and N=3 Gauge Theory
• Resolving the M2-brane
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime