Brane Tilings, M2 Branes and Chern Simons theories

          @misc{ scivideos_PIRSA:09020013,
            doi = {10.48660/09020013},
            url = {https://pirsa.org/09020013},
            author = {Hanany, Amihay},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Brane Tilings, M2 Branes and Chern Simons theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2009},
            month = {feb},
            note = {PIRSA:09020013 see, \url{https://scivideos.org/pirsa/09020013}}
          }
          

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.