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

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

Full text not available from this repository.

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:	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

Citation Data

Cited 28 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item