Null Vectors in Logarithmic Conformal Field Theory

Details Null Vectors in Logarithmic Conformal Field Theory Null Vectors in Logarithmic Conformal Field Theory

2000-09-18

arxiv.org/abs/hep-th/0009137v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX2e, Invited talk at the TMR conference ``Non-perturbative quantum effects 2000'', Paris, September 2000

Scientific paper

The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how such logarithmic null vectors can be used to derive differential equations for correlation functions. We show that differential equations for correlation functions with logarithmic fields become inhomogeneous.

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