Quantum Reduction and Representation Theory of Superconformal Algebras
Victor Kac, Minoru Wakimoto
TL;DR
This paper explores the structure and representations of vertex algebras derived from affine superalgebras through quantum reduction, providing new free field realizations and determinant formulas for superconformal algebras.
Contribution
It introduces a unified approach to free field realizations and determinant formulas for superconformal algebras via quantum reduction of affine superalgebras.
Findings
Derived free field realizations for superconformal algebras
Obtained determinant formulas for superconformal algebras
Unified framework for structure and representations
Abstract
We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way free field realizations and determinant formulas for all superconformal algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons