New series of integrable vertex models through a unifying approach

DOI10.1088/0305-4470/35/29/103zbMATH Open1043.82010arXivcond-mat/0204470OpenAlexW1995635165MaRDI QIDQ4465942

Anjan Kundu

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: Applying a unifying Lax operator approach to statistical systems a new class of integrable vertex models based on quantum algebra is proposed, which exhibits a rich variety for generic q, q roots of unity and q -> 1. Exact solutions are formulated through algebraic Bethe ansatz and a novel possibility of hybrid vertex models is introduced.

Full work available at URL: https://arxiv.org/abs/cond-mat/0204470

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (3)

Off-critical integrable vertex models and conformal theories in finite geometries ⋮ The vertex formulation of the Bazhanov-Baxter model. ⋮ Vertex Operator Approach to Semi-infiniteSpin Chain: Recent Progress

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