Logarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions

Details Logarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions Logarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions

2000-08-22

arxiv.org/abs/hep-th/0008165v2

Nucl.Phys. B599 (2001) 531-546

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex

Scientific paper

10.1016/S0550-3213(01)00004-9

We study logarithmic conformal field theories (LCFTs) through the introduction of nilpotent conformal weights. Using this device, we derive the properties of LCFT's 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.

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