Knot Theory of Coxeter type B and its physical applications

Details Knot Theory of Coxeter type B and its physical applications Knot Theory of Coxeter type B and its physical applications

1996-11-14

arxiv.org/abs/q-alg/9611016v1

Mathematics

Quantum Algebra

Latex2e with style file included

Scientific paper

Braid groups may be defined for every Coxeter diagram. Artin's braid group is of type A. Analogs of Temperley-Lieb, Hecke and Birman-Wenzl algebras exist for B-type. Our general hypothethis is that the braid group of B-type replaces Artin's braid group in most physical applications if the model is equipped with a nontrivial boundary. Solutions of a Potts model with a boundary and the reflection equation illustrate this principle. Braided tensor categories of B-type and dually Coxeter-B braided Hopf algebras are introduced. The occurrence of such categories in QFT on a half plane is discussed.

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