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

1997/06/14 by A. H. Bougourzi, Bougourzi, A. H. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #cond-mat #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9706015

78 pages, Latex

arxiv created 1997/06/14 · openalex publication_date 1997/06/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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(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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