Logarithmic operators and logarithmic conformal field theories

Abstract

Logarithmic operators and logarithmic conformal field theories are reviewed. Prominent examples considered here include c=-2 and c=0 logarithmic conformal field theories. c=0 logarithmic conformal field theories are especially interesting since they describe some of the critical points of a variety of longstanding problems involving a two dimensional quantum particle moving in a spatially random potential, as well as critical two dimensional self avoiding random walks and percolation. Lack of classification of logarithmic conformal field theories remains a major impediment to progress towards finding complete solutions to these problems.

References in corpus (2)

• Critical exponent for the quantum Hall transition
• Associative-algebraic approach to logarithmic conformal field theories

Cited by in corpus (12)

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• Ghost-spin chains, entanglement and $bc$-ghost CFTs
• Fusion rules for the logarithmic $N=1$ superconformal minimal models I: the Neveu-Schwarz sector
• N-level ghost-spins and entanglement
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models
• Logarithmic Correlations in Quantum Hall Plateau Transitions
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Free Field Realisations of Staggered Modules in 2D Logarithmic CFTs
• The q-deformed Haldane-Shastry chain at q=i with even length