Wakimoto Modules for Twisted Affine Lie Algebras

Details Wakimoto Modules for Twisted Affine Lie Algebras Wakimoto Modules for Twisted Affine Lie Algebras

2001-06-08

arxiv.org/abs/math/0106061v1

Mathematics

Quantum Algebra

19 pages

Scientific paper

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}.

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