Creation operators for the Fateev-Zamolodchikov spin chain

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.

27 pages

References in corpus (7)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• On one-point functions for sinh-Gordon model at finite temperature
• Fermionic basis for space of operators in the XXZ model
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
• Reflection relations and fermionic basis

Cited by in corpus (3)

• Suzuki equations and integrals of motion for supersymmetric CFT
• One point functions of fermionic operators in the Super Sine Gordon model
• Fermion-current basis and correlation functions for the integrable spin 1 chain