2008/12/18 by Benoit Estienne, Estienne, Benoit
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.0812.3473
arxiv created 2008/12/18 · arxiv updated 2009/12/01
The second ℤ3 parafermionic conformal theories are associated with the coset construction \fracSU(2)k× SU(2)4SU(2)k+4 . Solid-on-solid integrable lattice models obtained by fusion of the model based on level-1 representation of the affine algebra B1(1) have a critical point described by these conformal theories. Explicit values for the Boltzmann weights are derived for these models, and it is shown that the Boltzmann weights can be made positive for a particular value of the spectral parameter, opening a way to eventual numerical simulations of these conformal field theories. Away from criticality, these lattice models describe an integrable, massive perturbation of the parafermionic conformal theory by the relevant field Ψ-2/3†D1,3 .