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Lectures on the integrability of the six-vertex model. (English) Zbl 1202.82022
Jacobson, Jesper (ed.) et al., Exact methods in low-dimensional statistical physics and quantum computing. École d’été de Physique des Houches, session LXXXIX, 30 June–1 August 2008, école thématique du CRNS. Oxford: Oxford University Press (ISBN 978-0-19-957461-2/hbk). 197-266 (2010).
From the introduction: The goal of these notes is to outline the relation between solvable models in statistical mechanics, and classical and quantum integrable spin chains. The main examples are the six-vertex model in statistical mechanics, and spin chains related to the loop algebra \(Lsl_2\).
For the entire collection see [Zbl 1192.81012].

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B23 Exactly solvable models; Bethe ansatz
82B27 Critical phenomena in equilibrium statistical mechanics
17B63 Poisson algebras