The classifying algebra for defects

Details The classifying algebra for defects The classifying algebra for defects

2010-07-02

arxiv.org/abs/1007.0401v3

Nucl.Phys.B843:673-723,2011

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, several figures. v2: ref. [13] added; comparison of results with those of ref. [18] added (pages 15 and 34) v3: comm

Scientific paper

10.1016/j.nuclphysb.2010.10.008

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.

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