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Integrable boundaries, conformal boundary conditions and A-D-E fusion rules [Letter]

Behrend, Roger E., Pearce, Paul A. and Zuber, J. B. 1998. Integrable boundaries, conformal boundary conditions and A-D-E fusion rules [Letter]. Journal of Physics A: Mathematical and General 31 (50) , L763-L770. 10.1088/0305-4470/31/50/001

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Publisher: IOP Publishing
ISSN: 0305-4470
Last Modified: 04 Jun 2017 04:27

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