Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model

Details Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model

2008-02-11

arxiv.org/abs/0802.1329v2

Physics

Mathematical Physics

22 pages 0 figure The paper has been reorganized, splitting the results into two sections : results pertaining to Physics and

Scientific paper

10.1063/1.3032564

We study birational transformations of the projective space originating from lattice statistical mechanics, specifically from various chiral Potts models. Associating these models to \emph{stable patterns} and \emph{signed-patterns}, we give general results which allow us to find \emph{all} chiral $q$-state spin-edge Potts models when the number of states $q$ is a prime or the square of a prime, as well as several $q$-dependent family of models. We also prove the absence of monocolor stable signed-pattern with more than four states. This demonstrates a conjecture about cyclic Hadamard matrices in a particular case. The birational transformations associated to these lattice spin-edge models show complexity reduction. In particular we recover a one-parameter family of integrable transformations, for which we give a matrix representation

Affiliated with

Also associated with

No associations

Rating

Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birational Mappings and Matrix Sub-algebra from the Chiral Potts Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624732