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On an algebraic approach to Cubic Lattice Potts Models

Record type: Article

We consider Diagram algebras, Dg(G) (generalized Temperley-Lieb algebras) defined for a large class of graphs G, including those of relevance for cubic lattice Potts models, and study their structure for generic Q. We find that these algebras are too large to play the precisely analogous role in three dimensions to that played by the Temperley-Lieb algebras for generic Q in the planar case. We outline measures to extract the quotient algebra that would illuminate the physics of three dimensional Potts models.

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Citation

Dasmahapatra, Srinandan and Martin, Paul (1996) On an algebraic approach to Cubic Lattice Potts Models Journal of Physics A: Mathematical and General, 29, (2), p. 263. (doi:10.1088/0305-4470/29/2/006).

More information

Published date: 1996
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264095
URI: http://eprints.soton.ac.uk/id/eprint/264095
ISSN: 0305-4470
PURE UUID: 769d5e51-252c-4dbb-acee-def6b377d99a

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Date deposited: 29 May 2007
Last modified: 18 Jul 2017 07:39

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Author: Paul Martin

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