Logarithmic conformal field theory through nilpotent conformal dimensions

We study logarithmic conformal field theories (LCFTs) through the introduction of nilpotent conformal weights. Using this device, we derive the properties of LCFTs such as the transformation laws, singular vectors and the structure of correlation functions. We discuss the emergence of an extra energ...

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Bibliographic Details
Published in:Nuclear physics. B 2001-04, Vol.599 (3), p.531-546
Main Authors: Moghimi-Araghi, S., Rouhani, S., Saadat, M.
Format: Article
Language:English
Subjects:
Conformal field theory
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Summary:We study logarithmic conformal field theories (LCFTs) through the introduction of nilpotent conformal weights. Using this device, we derive the properties of LCFTs such as the transformation laws, singular vectors and the structure of correlation functions. We discuss the emergence of an extra energy momentum tensor, which is the logarithmic partner of the energy momentum tensor.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(01)00004-9