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arXiv 1206.5218hep-th
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三维空间中的Chern-Simons接触项

Comments on Chern-Simons Contact Terms in Three Dimensions

Cyril Closset, Thomas T. Dumitrescu, Guido Festuccia, Zohar Komargodski, Nathan Seiberg

摘要:

研究了三维量子场论中守恒流的接触项和能量动量张量。它们与用于背景场的陈-西蒙斯项相关联。虽然这些接触项的整数部分是模糊的,但它们的分数部分是有意义的物理观测量。在具有U(1)R对称性的N=2超对称理论中,这些观测量中的一些会导致反常。此外,它们可以使用本地化精确计算,从而导致新的对偶性测试。

英文摘要:

We 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 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.

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