Virasoro blocks and the reparametrization formalism

Abstract

An effective theory designed to compute Virasoro identity blocks at large central charge, expressed in terms of the propagation of a reparametrization/shadow mode between bilocal vertices, was recently put forward. In this paper I provide the formal theoretical framework underlying this effective theory by reformulating it in terms of standard concepts : conformal geometry, generating functionals and Feynman diagrams. A key ingredient to this formalism is the bilocal vertex operator, or reparametrized two-point function, which is shown to generate arbitrary stress tensor insertions into a two-point function of reference. I also suggest an extension of the formalism designed to compute generic Virasoro blocks.

16 pages. v2: comments added, corrected typos

References in corpus (2)

• Holographic boundary actions in AdS${}_3$/CFT${}_2$ revisited
• Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Cited by in corpus (2)

• Toward Null State Equations in $d>2$
• Resummation of Multi-Stress Tensors in Higher Dimensions