Four-Point Functions in Logarithmic Conformal Field Theories

Abstract

The generic structure of 4-point functions of fields residing in indecomposable representations of arbitrary rank is given. The used algorithm is described and we present all results for Jordan-rank $r=2$ and $r=3$ where we make use of permutation symmetry and use a graphical representation for the results. A number of remaining degrees of freedom which can show up in the correlator are discussed in detail. Finally we present the results for two-logarithmic fields for arbitrary Jordan-rank.

latex 33 pages, 1 figure

References in corpus (4)

• Logarithmic scaling for height variables in the Abelian sandpile model
• Note on SLE and logarithmic CFT
• Logarithmic Primary Fields in Conformal and Superconformal Field Theory
• SU(2)_k Logarithmic Conformal Field Theories

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