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Bosonization of quantum affine groups and its application to the higher spin Heisenberg model

A. H. Bougourzi
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Abstract

In this paper, we present a detailed analysis of the diagonalization of the higher spin Heisenberg model using its quantum affine symmetry $U_q(\hat{sl(2)})$. In particular, we describe the bosonizations of the latter algebra, its highest weight representations, vertex operators and screening operators. Finally, we use this bosonization method to compute the vacuum-to-vacuum expectation values and the form factors of any local operator.

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BibTeXRIS

A. H. Bougourzi. 1997-06-14. Bosonization of quantum affine groups and its application to the higher spin Heisenberg model. https://arxiv.org/abs/q-alg/9706015

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