https://doi.org/10.1140/epjc/s10052-017-4947-x
Regular Article - Theoretical Physics
Analytic properties of the Virasoro modular kernel
1
Moscow Institute of Physics and Technology (MIPT), Dolgoprudny, Russia
2
Institute for Theoretical and Experimental Physics (ITEP), Moscow, Russia
3
The Laboratory of Superconducting metamaterials, National University of Science and Technology MISIS, Moscow, Russia
* e-mail: nnemkov@gmail.com
Received:
14
December
2016
Accepted:
22
May
2017
Published online:
2
June
2017
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.
© The Author(s), 2017
