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Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,Nonlinear Sciences, Exactly Solvable and Integrable Systems, nlin.SI,
Abstract:
Recently, there has been observed an interesting correspondence between
supersymmetric quiver gauge theories with four supercharges and integrable
lattice models of statistical mechanics such that the two-dimensional spin
lattice is the quiver diagram, the partition function of the lattice model is
the partition function of the gauge theory and the Yang-Baxter equation
expresses the identity of partition functions for dual pairs. This
correspondence is a powerful tool which enables us to generate new integrable
models. The aim of the present paper is to give a short account on a progress
in integrable lattice models which has been made due to the relationship with
supersymmetric gauge theories.
