Comments on Chern-Simons contact terms in three dimensions
Comments on Chern-Simons contact terms in three dimensions
复制标题
三维陈-西蒙斯接触项的评论
DOI：
10.1007/jhep09(2012)091
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发表时间：
2012
影响因子：
5.4
通讯作者：
N. Seiberg
中科院分区：
文献类型：
--
作者：
Cyril Closset;T. Dumitrescu;G. Festuccia;Z. Komargodski;N. Seiberg
摘要我们研究三维量子场论中守恒电流的接触项和能量动量张量。它们与背景场的 Chern-Simons 术语相关。虽然这些接触项的整数部分是不明确的，但它们的小数部分是有意义的物理可观察量。在 $ \mathcal{N} = {2} $ 具有 U(1)R 对称性的超对称理论中，其中一些可观测量导致了异常。此外，它们可以使用本地化来精确计算，从而导致新的对偶性测试。
A bstractWe study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the integer parts of these contact terms are ambiguous, their fractional parts are meaningful physical observables. In $ \mathcal{N} = {2} $ supersymmetric theories with a U(1)R symmetry some of these observables lead to an anomaly. Moreover, they can be computed exactly using localization, leading to new tests of dualities.