Current Algebra Associated with Logarithmic Conformal Field Theories |
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Authors: | S Moghimi-Araghi S Rouhani M Saadat |
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Institution: | (1) Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, PO Box, 19395-5531 Tehran, Iran |
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Abstract: | We propose a general framework for deriving the OPEs within a logarithmic conformal field theory (LCFT). This naturally leads to the emergence of a logarithmetic 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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Keywords: | conformal field theory algebraic structures |
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