Abstract
In this paper, we study some algebraic properties of the supersymmetric extension of Galilean conformal algebra (SGCA) in 2d introduced by I Mandal. The derivations, the central extensions, and the automorphisms of the SGCA are determined explicitly. Moreover, we present a natural realization of the SGCA in terms of the affinization of a Balinsky–Novikov superalgebra in dimension 2|2. Using this realization, we construct some vertex superalgebras and modules associated to the representations for the SGCA.
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