Representations of the Mapping Class Group of the Two Punctured Torus on the Space of \hat {sl}(2,C) Spin1/2-Spin1/2 Kac-Moody Blocks

Abstract

The integral representations of the $\widehat{sl}(2,C)$ Spin 1/2 - Spin 1/2 Kac-Moody Blocks on the torus, arising from the free field representation of the $\widehat{sl}(2,C)$ Kac-Moody algebra of Wakimoto and Bernard and Felder, are used to derive an infinite class of representations of the mapping class group of the two punctured torus.

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