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arXiv · 1307.7896

Realization of \hat{sl}_2(C) at the Critical Level

Jonathan Dunbar·Naihuan Jing·Kailash C. Misra
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Abstract

An explicit realization of the affine Lie algebra \hat{sl}_2(C) at the critical level is constructed using a mixture of bosons and parafermions. Subsequently a representation of the associated Lepowsky-Wilson Z-algebra is given on a space of the tensor product of bosonic fields and certain semi-infinite wedge products.

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Jonathan Dunbar, Naihuan Jing, Kailash C. Misra. 2013-07-30. Realization of \hat{sl}_2(C) at the Critical Level. https://doi.org/10.1142/s0219199714500060

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