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Phase transitions in the semicontinuous limit of a quantum spin chain

Presented by: 
Vaughan Jones Vanderbilt University, University of California, Berkeley
Date: 
Monday 12th June 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
A quest for the construction of a conformal field theory directly from a subfactor has taken an unexpected turn involving a "semicontinuous limit” Hilbert space, with Thompson group symmetry, that might be as relevant to critical quantum spin chains as CFT itself. Models give spin chains with various phases governed by the value of a spectral parameter, and a holomorphic dynamical system. The phases are the Fatou connected components of the dynamical system and the phase transistions occur when the spectral parameter crosses the Julia set from one Fatou component to another. 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons