The Euler anomaly and scale factors in Liouville/Toda CFTs
| Autor: | Balasubramanian, Aswin |
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| Rok vydání: | 2013 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP04(2014)127 |
| Popis: | The role played by the Euler anomaly in the dictionary relating sphere partition functions of four dimensional theories of class $\mathcal{S}$ 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. Comment: 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 |
| Databáze: | arXiv |
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