The classifying algebra for defects
High Energy Physics - Theory
2010-11-23 v3 Quantum Algebra
Abstract
We demonstrate that topological defects in a rational conformal field theory can be described by a classifying algebra for defects - a finite-dimensional semisimple unital commutative associative algebra whose irreducible representations give the defect transmission coefficients. We show in particular that the structure constants of the classifying algebra are traces of operators on spaces of conformal blocks and that the defect transmission coefficients determine the defect partition functions.
Cite
@article{arxiv.1007.0401,
title = {The classifying algebra for defects},
author = {Jurgen Fuchs and Christoph Schweigert and Carl Stigner},
journal= {arXiv preprint arXiv:1007.0401},
year = {2010}
}
Comments
47 pages, several figures. v2: ref. [13] added; comparison of results with those of ref. [18] added (pages 15 and 34) v3: comment on the folding trick added at the end of section 2, typos corrected