Conformal field theory and mapping class groups

Details Conformal field theory and mapping class groups Conformal field theory and mapping class groups

2007-10-05

arxiv.org/abs/0710.1329v1

Mathematics

Quantum Algebra

17 pages; conference proceedings Number theory and physics

Scientific paper

Rational conformal field theories produce a tower of finite-dimensional
representations of surface mapping class groups, acting on the conformal blocks
of the theory. We review this formalism. We show that many recent mathematical
developments can be fit into the first 2 floors of this tower. We also review
what is known in higher genus.

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