Ingo Runkel (King's College London)

Conformal Field Theory and Frobenius Algebras

One way to think of two-dimensional euclidean conformal field theories (CFTs) is as a continuum limit of statistical systems. This motivates the formulation of CFT as a functor from a geometric category - the category of world sheets - to vector spaces. Alternatively, one can encode the properties of a CFT by demanding it to be a natural transformation. For so-called rational CFTs the latter point of view is helpful because it allows to establish a one- to-one correspondence between such CFTs and certain Frobenius algebras in the category of representations of the chiral symmetry of the CFT.

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Contact:

Rainer Verch
ITP, Universitaet Leipzig
Vor dem Hospitaltore 1
Phone: +49 341 97 32423

Manfred Salmhofer
ITP, Universitaet Leipzig
Vor dem Hospitaltore 1
Phone: +49 341 97 32468