Script N sign = 2 SCFT and M theory on AdS4 ×Q1,1,1

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Abstract

Coincident M2 branes at a conical singularity are related to M theory on AdS4 × X7 for an appropriate 7 dimensional Sasaki-Einstein manifold X7. For X7 = Q1,1,1 = (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 Ai,i = 1,2 transforming in the (N,N̄,1) representation, Bj,J = 1,2 transforming in the (1,N,N̄) representation and Ck,k = 1,2 transforming in the (1,N,N̄) representation. From the scalar Laplacian of X7 on the supergravity side, we discuss the spectrum of chiral primary operators of dual script N sign = 2 superconformal field theory in 3 dimensions. We study M5 branes wrapped over 5-cycle of X7 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 X7 which plays the role of domain wall in AdS4. 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.

Original languageEnglish
Pages (from-to)171-180
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume466
Issue number2-4
DOIs
StatePublished - 1999

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