Beyond CFT : Deformed Virasoro and Elliptic Algebras
S.Odake
TL;DR
This paper explores advanced algebraic structures like deformed Virasoro and elliptic algebras, extending conformal field theory concepts and analyzing their roles in solvable lattice models using free field methods.
Contribution
It introduces and studies deformed Virasoro and elliptic algebras, expanding the symmetry framework beyond traditional conformal field theory.
Findings
Deformed Virasoro algebras are linked to solvable lattice models.
Elliptic algebras provide a new perspective on extended symmetries.
Free field approach effectively analyzes these complex algebras.
Abstract
In this lecture we discuss `beyond CFT' from symmetry point of view. After reviewing the Virasoro algebra, we introduce deformed Virasoro algebras and elliptic algebras. These algebras appear in solvable lattice models and we study them by free field approach.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons