Singular Vectors in Logarithmic Conformal Field Theories

Details Singular Vectors in Logarithmic Conformal Field Theories Singular Vectors in Logarithmic Conformal Field Theories

1997-07-09

arxiv.org/abs/hep-th/9707090v1

Nucl.Phys. B514 (1998) 523-552

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX with two eps figures included

Scientific paper

10.1016/S0550-3213(97)00012-6

Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic partners can still be represented in form of linear differential operators. Since the existence of singular vectors is subject to much stronger constraints than in regular conformal field theory, they also provide a powerful tool for the classification of logarithmic conformal field theories.

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