1998/09/09 by Yasuhiro Fujii, Miki Wadati, Fujii, Yasuhiro +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Theoretical and Computational Physics #cond-mat #hep-th #math.QA #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.hep-th/9809058
14pages, LaTeX2e file, uses psfrag
arxiv created 1998/09/09 · openalex publication_date 1998/09/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry. From this simplified expression the ``finite size formula'' for magnetizations in the bounded and in the half-infinite chains is deduced. Applying this formula we calculate the spontaneous magnetization in the bounded XYZ model.