Dirac reductions and Classical W-algebras
Gahng Sahn Lee, Arim Song, Uhi Rinn Suh
TL;DR
This paper extends Dirac reduction techniques to non-local Poisson vertex superalgebras and uses these methods to elucidate the structures of classical W-superalgebras and SUSY classical W-algebras.
Contribution
It generalizes Dirac reduction to non-local and SUSY cases and applies it to describe classical W-superalgebras structures.
Findings
Generalized Dirac reduction to non-local Poisson vertex superalgebras
Modified reduction explains classical W-superalgebra structures
Provides a framework for SUSY 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology