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Self-dual spin systems, zeros of partition function, and error correcting codes

Date: 
Thursday 24th January 2008 - 16:30 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 

A new infinite class of self-dual translation invariant spin ½ systems will be introduced. (Two systems of this class are known to be solvable: Baxter-Wu triangular model and Union Jack model.) Conjectures about distribution of zeros of partition functions of finite volume systems of this class will be formulated. Numerical and rigorous results supporting the conjectures, and connection with the theory of self-dual cyclic codes, will be discussed.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons