Explicit description of twisted Wakimoto realizations of affine Lie algebras

Details Explicit description of twisted Wakimoto realizations of affine Lie algebras Explicit description of twisted Wakimoto realizations of affine Lie algebras

2003-05-19

arxiv.org/abs/math/0305268v2

Nucl.Phys. B674 (2003) 509-532

Mathematics

Quantum Algebra

24 pages, LaTeX, v2: small corrections in appendix C

Scientific paper

In a vertex algebraic framework, we present an explicit description of the twisted Wakimoto realizations of the affine Lie algebras in correspondence with an arbitrary finite order automorphism and a compatible integral gradation of a complex simple Lie algebra. This yields generalized free field realizations of the twisted and untwisted affine Lie algebras in any gradation. The free field form of the twisted Sugawara formula and examples are also exhibited.

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