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Super-GCA from mathcal{N} = (2,2) Super-Virasoro
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Super-GCA from mathcal{N} = (2,2) Super-Virasoro
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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.
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BMS$_3$ invariant field theories
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