Exact results in quiver quantum mechanics and BPS bound state counting
Exact results in quiver quantum mechanics and BPS bound state counting
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DOI：
10.1007/jhep11(2014)123
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发表时间：
2014-08
影响因子：
5.4
通讯作者：
Kazutoshi Ohta;Yuya Sasai
中科院分区：
文献类型：
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作者：
Kazutoshi Ohta;Yuya Sasai
利用定域化技术精确计算了Higgs相= 4超对称π量子力学的配分函数（指数）.我们证明了路径积分局部化在不动点上，这些不动点是通过求解BRST方程以及D项和F项条件得到的。我们打开了R对称的背景规范场，对应于手征多重态的两个节点之间的箭头，但配分函数并不依赖于这些R荷。我们给出了明确的例子，包括非互质维向量的非线性理论。配分函数完全符合Poincaré多项式（χ y-亏格）的数学公式，并与模空间的壁交叉完全一致.我们还讨论了超对称（Q-闭）Wilson环的期望值的精确计算。
We exactly evaluate the partition function (index) of= 4 supersymmetric quiver quantum mechanics in the Higgs phase by using the localization techniques. We show that the path integral is localized at the fixed points, which are obtained by solving the BRST equations, and D-term and F-term conditions. We turn on background gauge fields of R-symmetries for the chiral multiplets corresponding to the arrows between quiver nodes, but the partition function does not depend on these R-charges. We give explicit examples of the quiver theory including a non-coprime dimension vector. The partition functions completely agree with the mathematical formulæ of the Poincaré polynomials (χ y-genus) and the wall crossing for the quiver moduli spaces. We also discuss exact computation of the expectation values of supersymmetric (Q-closed) Wilson loops in the quiver theory.