2001/08/31 by Zengo Tsuboi · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Central charge #Entropy (arrow of time) #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #String (physics) #Superalgebra #Thermodynamic limit #Yang–Baxter equation #cond-mat.stat-mech
paper · pdf · doi:10.1142/s0217751x02009758
published as Int.J.Mod.Phys.A17:2351-2368,2002 · 23 pages, 3 postscript figures
arxiv created 2001/12/14 · openalex publication_date 2002/07/10 · arxiv updated 2011/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of the solution of the osp(1|2s) version of the Q-system. In particular for the fundamental representation case, we also derive a TBA equation from the osp(1|2s) version of the T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis. The central charge is expressed by the Rogers dilogarithmic function and identified to s.