Behrend, Roger E.  ORCID: https://orcid.org/0000-0002-6143-7439, 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
|
Abstract
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: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Publisher: | IOP Publishing |
| ISSN: | 0305-4470 |
| Last Modified: | 21 Oct 2022 10:10 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/39287 |
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