Chiral SU(2)k currents as local operators in vertex models and spin chains. (23rd January 2015)

• Record Type: Journal Article
• Authors: Bondesan, R; Dubail, J; Faribault, A; Ikhlef, Y
• Is Part Of: Journal of physics. Volume 48:Number 6(2015)
• Publication Date: 2015-01-23
• Subjects: conformal field theory -- quantum integrable models -- tensor product states; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/6/065205
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: The six-vertex model and its spin- S descendants obtained from the fusion procedure are well-known lattice discretizations of the WZW models, with k = 2 S . It is shown that, in these models, it is possible to exhibit a local observable on the lattice that behaves as the chiral current J a ( z ) in the continuum limit. The observable is built out of generators of the Lie algebra acting on a small (finite) number of lattice sites. The construction works also for the multi-critical quantum spin chains related to the vertex models, and is verified numerically for S = 1/2 and S = 1 using Bethe ansatz and form factors techniques.