Logarithmic Operators in Conformal Field Theory

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 $L_0$. An example of the field theory possessing such correlation functions is given.

13 pages, plain TEX, PUPT-1391 (minor changes and the appendix with additional calculations is added)

Cited by in corpus (388)

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• Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems
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• Extended chiral algebras in the SU(2)_0 WZNW model
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• Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit
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• String backgrounds and LCFT
• Calculation of Four Point Correlation Function of Logarithmic Conformal Field Theory Using AdS/CFT Correspondence
• A mass hierarchy from recoiling D branes
• A note on the logarithmic (p,p') fusion
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• Critical points of the Exotic Massive 3D Gravity
• Some Aspects of c=-2 Theory
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• Bosonic Ghost Correlators: A Case Study
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• Contour Integral Representations for the Characters of Logarithmic CFTs
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence
• Implications of Space-Time foam for Entanglement Correlations of Neutral Kaons
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• Correlation Functions in N=3 Superconformal Theory
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