Supersymmetric Extension of GCA in 2d

Abstract

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 (arXiv:0912.1090), the representation theory based on SGCA primaries, Ward identities for their correlation functions and their descendants which are null states.

La TeX file, 32 pages; v2: typos corrected, journal version

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• The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
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Cited by in corpus (16)

• The BMS/GCA correspondence
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Tensionless Superstrings: View from the Worldsheet
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Characters of the BMS Group in Three Dimensions
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Spectral Flow in 3D Flat Spacetimes
• The complex null string, Galilean conformal algebra and scattering equations
• Metrics with Galilean Conformal Isometry
• Supersymmetric Warped Conformal Field Theory
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations
• $\ell$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra
• 2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra