Various semiclassical limits of torus conformal blocks
High Energy Physics - Theory
2017-05-24 v1
Abstract
We study four types of one-point torus blocks arising in the large central charge regime. According to different limits of conformal dimensions we distinguish between the global block, the light block, the heavy-light block, and the linearized classical block. We show that they are not independent and connected to each other by various links. We find that the global, light, and heavy-light blocks correspond to three different contractions of the Virasoro algebra. Also, we formulate the c-recursive representation of the one-point torus blocks which is relevant in the semiclassical approximation.
Cite
@article{arxiv.1612.05891,
title = {Various semiclassical limits of torus conformal blocks},
author = {K. B. Alkalaev and R. V. Geiko and V. A. Rappoport},
journal= {arXiv preprint arXiv:1612.05891},
year = {2017}
}
Comments
23 pages