Mathematical Research Letters

Volume 9, Issue 4, July 2002 pp. 433-448.

Wakimoto Modules for Twisted Affine Lie Algebras

Authors: Matthew Szczesny
Author institution: University of California, Berkeley

Summary: We construct Wakimoto modules for twisted affine Lie algebras, and interpret this construction in terms of vertex algebras and their twisted modules. Using the Wakimoto construction, 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 $A_{2}^{(2)}$.

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