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Beyond CFT : Deformed Virasoro and Elliptic Algebras

1999/10/28 by S. Odake, Satoru Odake, Odake, S.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9910226

134 pages, 2 figures, (AMS-)LaTeX(2e), Lecture given at 1999 CRM Summer School ``Theoretical Physics at the End of the XXth Century'', June 27 - July 10, Banff (Alberta), Canada ; References are added and misprints are corrected (See a list of revised points in the last page)

openalex publication_date 1999/10/28 · arxiv created 1999/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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