Braiding in Conformal Field Theory and Solvable Lattice Models

Details Braiding in Conformal Field Theory and Solvable Lattice Models Braiding in Conformal Field Theory and Solvable Lattice Models

1993-01-12

arxiv.org/abs/hep-th/9301045v1

Nucl.Phys. B413 (1994) 614-628

Physics

High Energy Physics

High Energy Physics - Theory

18pp

Scientific paper

10.1016/0550-3213(94)90004-3

Braiding matrices in rational conformal field theory are considered. The braiding matrices for any two block four point function are computed, in general, using the holomorphic properties of the blocks and the holomorphic properties of rational conformal field theory. The braidings of $SU(N)_k$ with the fundamental are evaluated and are used as examples. Solvable interaction round the face lattice models are constructed from these braiding matrices, and their Boltzmann weights are given. This allows, in particular, for the derivation of the Boltzmann weights of such solvable height models.

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