Supersymmetric extension of GCA in 2d
- 173 Downloads
We derive the infinite dimensional Supersymmetric Galilean Conformal Algebra (SGCA) in the case of two spacetime dimensions by performing group contraction on 2d superconformal algebra. We also obtain the representations of the generators in terms of superspace coordinates. Here we find realisations of the SGCA by considering scaling limits of certain 2d SCFTs which are non-unitary and have their left and right central charges become large in magnitude and opposite in sign. We focus on the Neveu-Schwarz sector of the parent SCFTs and develop, in parallel to the GCA studies recently in (hepth/0912.1090), the representation theory based on SGCA primaries, Ward identities for their correlation functions and their descendants which are null states.
KeywordsField Theories in Lower Dimensions Conformal and W Symmetry AdS-CFT Correspondence
- V.G. Kac, Highest weight representations of infinite-dimensional Lie algebras, proceedings of the International Congress of Mathematicians, Helsinki Finland (1978).Google Scholar
Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.