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Current Algebra Associated with Logarithmic Conformal Field Theories

S. Moghimi-Araghi·S. Rouhani·M. Saadat
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Abstract

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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S. Moghimi-Araghi, S. Rouhani, M. Saadat. 2000-12-17. Current Algebra Associated with Logarithmic Conformal Field Theories. https://arxiv.org/abs/hep-th/0012149

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