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PIRSA:09020013

Brane Tilings, M2 Branes and Chern Simons theories

APA

Hanany, A. (2009). Brane Tilings, M2 Branes and Chern Simons theories. Perimeter Institute for Theoretical Physics. https://pirsa.org/09020013

Amihay Hanany Imperial College London

Talk numberPIRSA:09020013
Source RepositoryPIRSA

Abstract

Brane Tilings are known to describe the largest known class of SCFT's in 3+1 dimensions. There is a well established formalism to find AdS_5 x SE_5 duals to these SCFT's and to compare results on both sides. This talk extends this formalism to 2+1 dimensional SCFT's, living on the world volume of M2 branes, which are dual to AdS_4 x SE_7 backgrounds of M theory. The SCFT's are quiver gauge theories with 4 supercharges (N=2 in 2+1 dimensions) and Chern Simons (CS) couplings. They admit a moduli space of vacuum configurations which is a CY4 cone over SE_7. The talk will go over the formalism and look at several examples in detail. The computation of scaling dimensions will be mentioned and relations to regular toric Fano 3-folds if time permits.