Dirac reductions and Classical W-algebras

Published 21 Jun 2022 in math-ph and math.MP | (2206.10704v2)

Abstract: In the first part of this paper, we generalize Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modify this reduction so that we explain the structures of classical W-superalgebras and SUSY classical W-algebras in terms of the modified Dirac reduction.

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