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

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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.

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hep-th 1

years

2026 1

verdicts

ACCEPT 1

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BMS$_3$ invariant field theories

hep-th · 2026-07-07 · accept · novelty 6.0

New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

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  • BMS$_3$ invariant field theories hep-th · 2026-07-07 · accept · none · ref 13 · internal anchor

    New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.