On an Algebraic Approach to Cubic Lattice Potts Models

Dasmahapatra, Srinandan and Martin, Paul (1996) On an Algebraic Approach to Cubic Lattice Potts Models. Journal of Physics A, 29, 263.


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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.

Item Type: Article
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 264095
Accepted Date and Publication Date:
Date Deposited: 29 May 2007
Last Modified: 31 Mar 2016 14:08
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264095

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