The University of Southampton
×
Filter your search:
University of Southampton Institutional Repository

On an algebraic approach to Cubic Lattice Potts Models

On an algebraic approach to Cubic Lattice Potts Models
On an algebraic approach to Cubic Lattice Potts Models
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.
0305-4470
263
Dasmahapatra, Srinandan
eb5fd76f-4335-4ae9-a88a-20b9e2b3f698
Martin, Paul
72111efd-2fe6-4258-8f1a-a3aec3cb3d0d
Dasmahapatra, Srinandan
eb5fd76f-4335-4ae9-a88a-20b9e2b3f698
Martin, Paul
72111efd-2fe6-4258-8f1a-a3aec3cb3d0d

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

Record type: Article

Abstract

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.

This record has no associated files available for download.

More information

Published date: 1996
Organisations: Southampton Wireless Group
Learn more about Southampton Wireless Group research

Identifiers

Local EPrints ID: 264095
URI: http://eprints.soton.ac.uk/id/eprint/264095
DOI: doi:10.1088/0305-4470/29/2/006
ISSN: 0305-4470
PURE UUID: 769d5e51-252c-4dbb-acee-def6b377d99a

Catalogue record

Date deposited: 29 May 2007
Last modified: 14 Mar 2024 07:42

Export record

Altmetrics

Contributors

Author: Srinandan Dasmahapatra
Author: Paul Martin

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Library staff additional information
Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×