Correlation functions of the spin-1 analog of the XXZ model

Abstract

Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in principle. We also report a construction of level 2 irreducible highest weight representations of $U_q({\widehat{sl}}_2)$ in terms of boson and fermion operators, and explicit forms of related vertex operators.

28 pages

Cited by in corpus (7)

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• Sum rules for four-spinon dynamic structure factor in XXX model
• A Free Field Representation of the Screening Currents of $U_q(\widehat{sl(3)})
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain