Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end

2010/12/02 by Ghali Filali · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Computer science #Mathematics #Nonlinear Waves and Solitons #Partition (number theory) #Pure mathematics #Reflection (computer programming) #hep-th #math-ph #math.MP #math.QA #nlin.SI

paper · pdf · doi:10.1016/j.geomphys.2011.01.002

published as Journal of Geometry and Physics (2011) · 13 pages,4 figures

arxiv created 2010/12/02 · openalex publication_date 2011/01/20 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel'd twist, we compute the partition function of this model with domain wall boundary conditions. We show that it can be represented in the form of a single Izergin determinant.

Citations

• Quantum inverse problem method. I
• The SOS model partition function and the elliptic weight functions
• Calculation of norms of Bethe wave functions
• Correlation functions of the openXXZchain: I
• Boundary conditions for integrable quantum systems
• Proceedings of the International Congress of Mathematicians

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