vix.ing · top · new · best · stats · spec

Infinite Quantum Group Symmetry in 2d Quantum Field Theory

1991/09/11 by André LeClair, Andre LeClair, LeClair, Andre
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9109020

15 pages. (Invited talk at the XXth International Conference on Differential Geometric Methods in Theoretical Physics, New York City, June 1991.)

arxiv created 1991/09/11 · openalex publication_date 1991/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I describe how integrable quantum field theories in 2 spacetime dimensions are characterized by infinite dimensional quantum group symmetries, namely the q-deformations of affine Lie algebras, and their Yangian limit. These symmetries can provide a new non-perturbative formulation of the theories.

Related