Logarithmic Operators in the Theory of Plateau Transition

Alexei M. Tsvelik; Ian I. Kogan

Logarithmic Operators in the Theory of Plateau Transition

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arxiv hep-th/9912143 v1 pith:NU7M5LNZ submitted 1999-12-16 hep-th

Ian I. Kogan , Alexei M. Tsvelik This is my paper · ORCID

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keywords logarithmicoperatorsplateautransitionbeenbehaviourdensitiesdescribe

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abstract

We show that $SL(2;C)/SU(2)$ model which had been recently proposed to describe the behaviour of the local densities of states at the plateau transition in Integer Quantum Hall effect, has logarithmic operators. They unusual properties are studied in this letter.

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Analytic Bootstrap for Logarithmic CFT
hep-th 2019-08 conditional novelty 6.0 of 10

The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.

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