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Creation operators for the Fateev-Zamolodchikov spin chain

2014/02/27 by M. Jimbo, T. Miwa, F. Smirnov +1
Chemistry · Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Basis (linear algebra) #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Mathematical physics #Mathematics #Operator (biology) #Operator theory #Physics #Pure mathematics #Quantum #Quantum many-body systems #Quantum mechanics #Simple (philosophy) #Space (punctuation) #Spin (aerodynamics) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/s11232-014-0207-5

27 pages

arxiv created 2014/02/27 · openalex publication_date 2014/10/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In our previous works on the XXZ chain of spin one half, we have studied the problem of constructing a basis of local operators whose members have simple vacuum expectation values. For this purpose a pair of fermionic creation operators have been introduced. In this article we extend this construction to the spin one case. We formulate the fusion procedure for the creation operators, and find a triplet of bosonic as well as two pairs of fermionic creation operators. We show that the resulting basis of local operators satisfies the dual reduced qKZ equation.

Citations