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.
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
|Date Deposited:||29 May 2007|
|Last Modified:||27 Mar 2014 20:08|
|Further Information:||Google Scholar|
|ISI Citation Count:||4|
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