
arXiv: 2206.10704
In the first part of this paper, we generalize the 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.
Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), Vertex operators; vertex operator algebras and related structures, Mathematical Physics, Applications of Lie algebras and superalgebras to integrable systems
Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), Vertex operators; vertex operator algebras and related structures, Mathematical Physics, Applications of Lie algebras and superalgebras to integrable systems
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