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Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction

Runkel, Ingo, Gaberdiel, Matthias R. and Wood, Simon 2014. Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction. Presented at: Conformal field theories and tensor categories workshop, Beijing, China, 14-18 June 2011. Published in: Bai, C., Fuchs, J., Huang, Y.-Z., Kong, L., Runkel, I. and Schweigert, C. eds. Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research. Mathematical Lectures from Peking University Berlin: Springer, pp. 93-168. 10.1007/978-3-642-39383-9_4

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer
ISBN: 9783642393822
ISSN: 21974209
Date of First Compliant Deposit: 6 December 2016
Date of Acceptance: 1 January 2014
Last Modified: 04 Jun 2017 09:33
URI: http://orca.cf.ac.uk/id/eprint/96662

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