Tuesday, January 31, 2012

1201.6273 (Ingo Runkel et al.)

Logarithmic bulk and boundary conformal field theory and the full centre
construction
   [PDF]

Ingo Runkel, Matthias R. Gaberdiel, Simon Wood
We review the definition of bulk and boundary conformal field theory in a way
suited for logarithmic conformal field theory. The notion of a maximal bulk
theory which can be non-degenerately joined to a boundary theory is defined.
The purpose of this construction is to obtain the more complicated bulk
theories from simpler boundary theories. We then describe the algebraic
counterpart of the maximal bulk theory, namely the so-called full centre of an
algebra in an abelian braided monoidal category. Finally, we illustrate the
previous discussion in the example of the W(2,3)-model with central charge 0.
View original: http://arxiv.org/abs/1201.6273

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