Séminaire de Physique ThéoriqueRelating boundary conditions for six-vertex models
Wellington Galleas (ITP, Universität Hamburg et DESY, Allemagne)
Thursday 02 April 2015 14:00 - Tours - Salle 1180 (Bât E2)
Six-vertex models play a fundamental role within the theory of exactly solvable models of Statistical Mechanics. In particular, the case with domain-wall boundaries consists of a building block for the computation of correlation functions. Moreover, it also exhibits interesting connections with the theory of classical integrable systems, enumerative combinatorics and special functions. By way of contrast, a Bethe ansatz solution is not available for this particular boundary conditions as we have for the periodic case. In this talk I will demonstrate a relation between the six-vertex model with domain-wall boundaries and the case with twisted boundary conditions. The latter then admits a Bethe ansatz like solution and it is also the former of an one-dimensional quantum spin-chain.