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

Abstract

In this paper, we present a detailed analysis of the diagonalization of the higher spin Heisenberg model using its quantum affine symmetry $U_q(\widehat{sl(2)})$. 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.

78 pages, Latex

References in corpus (1)

• Dynamic correlations of antiferromagnetic spin-1/2 XXZ chains at arbitrary temperature from complete diagonalization

Cited by in corpus (2)

• Sum rules for four-spinon dynamic structure factor in XXX model
• Exact four-spinon dynamical correlation function in isotropic Heisenberg model