Genus Two Modular Bootstrap
High Energy Physics - Theory
2018-12-05 v5
Abstract
We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a Z3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore constraints from genus two modular invariance and unitarity. In particular, we find 'critical surfaces' that constrain the structure constants of a CFT beyond what is accessible via the crossing equation on the sphere.
Keywords
Cite
@article{arxiv.1705.05865,
title = {Genus Two Modular Bootstrap},
author = {Minjae Cho and Scott Collier and Xi Yin},
journal= {arXiv preprint arXiv:1705.05865},
year = {2018}
}
Comments
23 pages, 6 figures. v2: updated references, typos corrected. v3-v5: minor typos corrected