Analytic properties of the Virasoro modular kernel
arXiv:1610.02000 · doi:10.1140/epjc/s10052-017-4947-x
Abstract
On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties of conformal block implied by Zamolodchikov's formula are shared by the kernel of the modular transformation and illustrate this by explicit computation in the case of the one-point toric conformal block.
12 pages, v2: minor corrections and additional references
References in corpus (8)
- A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
- On AGT relation in the case of U(3)
- Seiberg-Witten Theory and Random Partitions
- Virasoro conformal blocks in closed form
- Seiberg-Witten prepotential from instanton counting
- S-duality as a beta-deformed Fourier transform
- On modular transformations of non-degenerate toric conformal blocks
- From Liouville Theory to the Quantum Geometry of Riemann Surfaces
Cited by in corpus (6)
- Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
- Universal Dynamics of Heavy Operators in CFT
- Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity
- A slow review of the AGT correspondence
- Universal Dynamics of Heavy Operators in Boundary CFT
- Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions