Quantum reduction in the twisted case
Victor G. Kac, Minoru Wakimoto
TL;DR
This paper explores quantum Hamiltonian reduction for affine superalgebras in twisted cases, leading to a comprehensive representation theory of superconformal algebras, including free field realizations and determinant formulas.
Contribution
It introduces a general framework for quantum reduction in twisted affine superalgebras and develops new free field realizations and determinant formulas.
Findings
Representation theory of all superconformal algebras established
Free field realizations derived for twisted cases
Determinant formulas obtained for modules
Abstract
We study the quantum Hamiltonian reduction for affine superalgebras in the twisted case. This leads to a general representation theory of all superconformal algebras, including the twisted ones (like the Ramond algebra). In particular, we find general free field realizations and determinant formulae.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons