Semi-classical Virasoro blocks: proof of exponentiation

Abstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed ar...

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Bibliographic Details
Main Authors: Mert Beşken, Shouvik Datta, Per Kraus
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)109
Description
Summary:Abstract Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/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.
ISSN:1029-8479