Dirac reductions and Classical W-algebras

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.

References in corpus (2)

• Supersymmetric vertex algebras
• Classical affine W-superalgebras via generalized Drinfeld-Sokolov reductions and related integrable systems