QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS

1991/09/07 by LUCA MEZINCESCU, Luca Mezincescu, RAFAEL I. NEPOMECHIE +1 · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Nonlinear Waves and Solitons

paper · doi:10.1142/s0217732391002931

Abstract

We consider a large class of quantum spin chains, whose Hamiltonians commute with generators of a quantum algebra and which are integrable. We argue that the corresponding transfer matrices also commute with the quantum algebra. For the spin [Formula: see text] chain, we show that the Bethe states are highest weight states of U q [ su (2)].

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