N=2 supersymmetric pseudodifferential symbols and super W-algebras
Stephane Gourmelen
TL;DR
This paper develops a framework for superconformally covariant pseudodifferential symbols on N=2 super Riemann surfaces, leading to the construction of primary bases for super W-algebras, advancing the understanding of supersymmetric algebraic structures.
Contribution
It introduces a method to construct primary bases for N=2 super W-algebras using superconformally covariant pseudodifferential symbols.
Findings
Constructed primary bases for N=2 super W_KP^(n)-algebras
Reduced the construction to N=2 super W_n-algebras
Enhanced understanding of supersymmetric algebraic structures
Abstract
We study the superconformally covariant pseudodifferential symbols defined on N=2 super Riemann surfaces. This allows us to construct a primary basis for N=2 super W_KP^(n)-algebras and, by reduction, for N=2 super W_n-algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Algebra and Geometry