Current Algebra Associated with Logarithmic Conformal Field Theories

Details Current Algebra Associated with Logarithmic Conformal Field Theories Current Algebra Associated with Logarithmic Conformal Field Theories

2000-12-17

arxiv.org/abs/hep-th/0012149v1

Lett.Math.Phys. 55 (2001) 71-76

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures

Scientific paper

We propose a general frame work for deriving the OPEs within a logarithmic conformal field theory (LCFT). This naturally leads to the emergence of a logarithmic partner of the energy momentum tensor within an LCFT, and implies that the current algebra associated with an LCFT is expanded. We derive this algebra for a generic LCFT and discuss some of its implications. We observe that two constants arise in the OPE of the energy-momentum tensor with itself. One of these is the usual central charge.

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