The Euler anomaly and scale factors in Liouville/Toda CFTs
Abstract
The role played by the Euler anomaly in the dictionary relating sphere partition functions of four dimensional theories of class and two dimensional nonrational CFTs is clarified. On the two dimensional side, this involves a careful treatment of scale factors in Liouville/Toda correlators. Using ideas from tinkertoy constructions for Gaiotto duality, a framework is proposed for evaluating these scale factors. The representation theory of Weyl groups plays a critical role in this framework.
Keywords
Cite
@article{arxiv.1310.5033,
title = {The Euler anomaly and scale factors in Liouville/Toda CFTs},
author = {Aswin Balasubramanian},
journal= {arXiv preprint arXiv:1310.5033},
year = {2015}
}
Comments
55 pages, 16 figures; v2:fixed referencing & typos ; v3: argument about scale factors in Liouville/Toda now phrased in terms of stripped correlators, leading to a sharper conjecture (earlier version had some inaccurate statements). Presentation improved, typos fixed, refs added. I thank the anonymous referee for comments. Version accepted for publication in JHEP