The 5-CB Algebra and Fused $SU(2)$ Lattice Models

19 Jul 2020 Belavin Vladimir Gepner Doron

We study the fused $SU(2)$ models put forward by Date et al., that are a series of models with arbitrary number of blocks, which is the degree of the polynomial equation obeyed by the Boltzmann weights. We demonstrate by a direct calculation that a version of BMW (Birman--Murakami--Wenzl) algebra is obeyed by five, six and seven blocks models, conjecturing that it is part of the algebra valid for any model with more than two blocks... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS