Semi-classical Virasoro blocks: proof of exponentiation
Mert Beşken, Shouvik Datta, Per Kraus
Abstract
A bstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions h i , with the ratios h i /c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.
Topics & Concepts
ExponentiationPhysicsVirasoro algebraConformal mapCentral chargePrimary fieldMinimal modelsLimit (mathematics)Mathematical physicsOperator (biology)Conformal field theoryPure mathematicsAlgebra over a fieldQuantum mechanicsAlgebra representationMathematicsMathematical analysisCellular algebraChemistryTranscription factorRepressorGeneBiochemistryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAdvanced Mathematical Physics Problems