Supersymmetric Index In Four-Dimensional Gauge Theories
Supersymmetric Index In Four-Dimensional Gauge Theories
复制标题
四维规范理论中的超对称指数
DOI：
10.4310/atmp.2001.v5.n5.a1
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
E. Witten
中科院分区：
文献类型：
--
作者：
E. Witten
本文系统地讨论了极小超对称Yang-Mills理论的超对称指数Tr(-1)^F，它具有任意简单的规范群G，主要在四个时空维度上。该指数具有探测禁闭和斜禁闭以及可能的手征对称性和整体对称性的自发破缺的精细化，例如电荷共轭，这些都是由规范群的外自同构导出的。在规范理论红外行为的标准假设的基础上，得到了对指数及其修正的预测。这些预测通过微观计算得到了证实。微观计算包括波恩-奥本海默谱计算，以及涉及G的可交换元素的三元组和三环面上平丛的Chern-Simons不变量的数学公式。
This paper is devoted to a systematic discussion of the supersymmetric index Tr (-1)^F for the minimal supersymmetric Yang-Mills theory -- with any simple gauge group G -- primarily in four spacetime dimensions. The index has refinements that probe confinement and oblique confinement and the possible spontaneous breaking of chiral symmetry and of global symmetries, such as charge conjugation, that are derived from outer automorphisms of the gauge group. Predictions for the index and its refinements are obtained on the basis of standard hypotheses about the infrared behavior of gauge theories. The predictions are confirmed via microscopic calculations which involve a Born-Oppenheimer computation of the spectrum as well as mathematical formulas involving triples of commuting elements of G and the Chern-Simons invariants of flat bundles on the three-torus.