Liouville/Toda CFT 中的 Euler 反常与尺度因子
高能物理 - 理论
2015-06-17 v3
摘要
阐明了 Euler 反常在关联四维类理论与二维非有理 CFT 的球配分函数字典中的作用。在二维一侧，这涉及对 Liouville/Toda 关联函数中尺度因子的仔细处理。利用来自 Gaiotto 对偶的 tinkertoy 构造思想，提出了一个评估这些尺度因子的框架。Weyl 群的表示论在该框架中起着关键作用。
引用
@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}
}
备注
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