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Logarithmic conformal field theories via logarithmic deformations
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2002 (English)In: Nuclear Physics B, ISSN 0550-3213, Vol. 633, 379-413 p.Article in journal (Refereed) Published
Abstract [en]

We construct logarithmic conformal field theories starting from an ordinary conformal field theory -- with a chiral algebra C and the corresponding space of states V -- via a two-step construction: i) deforming the chiral algebra representation on V\tensor End K[[z,1/z]], where K is an auxiliary finite-dimensional vector space, and ii) extending C by operators corresponding to the endomorphisms End K. For K=C^2, with End K being the two-dimensional Clifford algebra, our construction results in extending C by an operator that can be thought of as \partial^{-1}E, where \oint E is a fermionic screening. This covers the (2,p) Virasoro minimal models as well as the sl(2) WZW theory.

Place, publisher, year, edition, pages
2002. Vol. 633, 379-413 p.
National Category
Subatomic Physics
Research subject
Theoretical Physics
URN: urn:nbn:se:uu:diva-236932DOI: 10.1016/S0550-3213(02)00220-1OAI: oai:DiVA.org:uu-236932DiVA: diva2:766035
Available from: 2014-11-25 Created: 2014-11-25 Last updated: 2014-11-25

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Fjelstad, Jens
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Nuclear Physics B
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