Logarithmic Operators in Conformal Field Theory

1993/03/31 by V. Gurarie · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90528-w

published as Nucl.Phys. B410 (1993) 535-549 · 13 pages, plain TEX, PUPT-1391 (minor changes and the appendix with additional calculations is added)

arxiv created 1993/04/09 · arxiv updated 2009/11/30

Abstract

Conformal field theories with correlation functions which have logarithmic singularities are considered. It is shown that those singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator L₀. An example of the field theory possessing such correlation functions is given.

Cited by

• Unified Virasoro Flow in Critical Topologically Massive Gravity: Monodromy, Indecomposable Structures, and Logarithmic Correlation Functions