Name: Wakimoto Modules for Twisted Affine Lie Algebras
Creator: Szczesny, Matthew
Keywords: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), General mathematics, Mathematics - Quantum Algebra, Pure mathematics, FOS: Mathematics, Quantum Algebra (math.QA), Quantum algebra, 0101 mathematics, 530

Wakimoto modules for twisted affine Lie algebras.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2002Embargo end date: 01 Jan 2001 English Publisher:International Press of BostonJournal:Mathematical Research Letters, volume 9, pages 433-448 (issn: 1073-2780, eissn: 1945-001X,

Authors: Szczesny, Matthew;

doi: 10.4310/mrl.2002.v9.n4.a4 , 10.48550/arxiv.math/0106061

arXiv: http://arxiv.org/abs/math/0106061

handle: 2144/27849

Wakimoto Modules for Twisted Affine Lie Algebras

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Abstract

We construct Wakimoto modules for twisted affine Lie algebras, and interpret the construction in terms of vertex algebras and their twisted modules. Using the Wakimoto realization, we prove the Kac-Kazhdan conjecture on the characters of irreducible modules with generic critical highest weights in the twisted case. We provide explicit formulas for the twisted fields in the case of the twisted affine algebra A^{(2)}_{2}.

19 pages

Related Organizations

University of California, Berkeley
United States
Boston College
United States

Keywords

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), General mathematics, Mathematics - Quantum Algebra, Pure mathematics, FOS: Mathematics, Quantum Algebra (math.QA), Quantum algebra, 530, Vertex operators; vertex operator algebras and related structures, 510

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