Constructs Minkowskian Cardy CFTs from arbitrary conformal nets and proves three forms of Haag duality interpreted as modular invariance, Cardy consistency, and Morita equivalence.
Segal's axioms and bootstrap for L iouville T heory
3 Pith papers cite this work. Polarity classification is still indexing.
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The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.
Extends imaginary Toda theory to higher rank on Riemann surfaces, constructs correlation functions satisfying CFT axioms including gluing, expresses them as Dotsenko-Fateev integrals on the sphere, and derives a closed three-point formula for sl_n under semidegenerate conditions.
citing papers explorer
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Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case
Constructs Minkowskian Cardy CFTs from arbitrary conformal nets and proves three forms of Haag duality interpreted as modular invariance, Cardy consistency, and Morita equivalence.
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Complex deformations of the circle: Group cohomology and Virasoro uniformization
The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.
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Compactified imaginary Toda theory
Extends imaginary Toda theory to higher rank on Riemann surfaces, constructs correlation functions satisfying CFT axioms including gluing, expresses them as Dotsenko-Fateev integrals on the sphere, and derives a closed three-point formula for sl_n under semidegenerate conditions.