Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro

Abstract

We derive the extended Supersymmetric Galilean Conformal Algebra (SGCA) in two spacetime dimensions by the method of group contraction on $2d$ $\mathcal{N}=(2,2)$ superconformal algebra. Both the parent and daughter algebras are infinite-dimensional. We provide the representation theory of the algebra. We adopt a superspace formalism for the SGCA fields, allowing us to write them down in a compact notation as components of superfields. We also discuss correlation functions, short supermultiplets and null states.

minor typos corrected; journal version

References in corpus (11)

• Galilean Conformal Algebras and AdS/CFT
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Galilean Superconformal Symmetries
• On AdS/CFT of Galilean Conformal Field Theories
• Supersymmetric Extension of Galilean Conformal Algebras
• Characters of the BMS Group in Three Dimensions
• Supersymmetric Extension of GCA in 2d
• N = 2 Galilean superconformal algebras with central extension
• Metrics with Galilean Conformal Isometry
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry

Cited by in corpus (12)

• Tensionless Superstrings: View from the Worldsheet
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Inhomogeneous Tensionless Superstrings
• Spectral Flow in 3D Flat Spacetimes
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• The complex null string, Galilean conformal algebra and scattering equations
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Galilean contractions of $W$-algebras
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations
• Addendum to "Super-GCA from $\mathcal{N}=(2,2)$ super-Virasoro": Super-GCA connection with tensionless strings
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra
• Fractional Galilean Symmetries