1998/07/20 by Roger E. Behrend, Paul A. Pearce, Jean-Bernard Zuber · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1088/0305-4470/31/50/001
published as J.Phys. A31 (1998) L763-L770 · 4 pages, REVTeX
arxiv created 1998/07/20 · openalex publication_date 1998/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The sl (2) minimal theories are classified by a Lie algebra pair where G is of A-D-E type. For these theories on a cylinder we propose a complete set of conformal boundary conditions labelled by the nodes of the tensor product graph . The cylinder partition functions are given by fusion rules arising from the graph fusion algebra of . We further conjecture that, for each conformal boundary condition, an integrable boundary condition exists as a solution of the boundary Yang - Baxter equation for the associated lattice model. The theory is illustrated using the or three-state Potts model.