Quantum Reduction for Affine Superalgebras
Victor G. Kac, Shi-shyr Roan, Minoru Wakimoto
TL;DR
This paper extends homological quantization methods to affine superalgebras, providing a unified approach to the representation theory of superconformal algebras.
Contribution
It introduces a generalized homological quantization technique for affine superalgebras, expanding the scope of Drinfeld--Sokolov reductions.
Findings
Unified representation theory of superconformal algebras
Extension of homological quantization methods
New insights into affine superalgebra structures
Abstract
We extend the homological method of quantization of generalized Drinfeld--Sokolov reductions to affine superalgebras. This leads, in particular, to a unified representation theory of superconformal algebras.
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