Factorization of S^3/Z_n partition function
Factorization of S^3/Z_n partition function
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S^3/Z_n 配分函数的因式分解
DOI：
10.1103/physrevd.89.085003
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发表时间：
2014
影响因子：
5
通讯作者：
and Daisuke Yokoyama
中科院分区：
文献类型：
--
作者：
Yosuke Imamura;Hiroki Matsuno;and Daisuke Yokoyama
本文研究了三维超对称场论的S3/Zn配分函数。在规范理论中，配分函数是由完整性指定的扇区的贡献之和，我们应该仔细选择贡献中的相对符号。我们认为全纯块的因子分解是一个有用的标准，以确定他们的符号，并提出了一个公式。我们表明，一般nongauge理论的orbifold配分函数是正确的因式分解，只要我们采取适当的相对标志。我们还提出了一些规范理论的例子。指出轨道配分函数的符号因子与透镜空间指数和三维指数的符号因子密切相关。
We investigate S3/Zn partition function of three-dimensionalsupersymmetric field theories. In a gauge theory the partition function is the sum of the contributions of sectors specified by holonomies, and we should carefully choose the relative signs among the contributions. We argue that the factorization to holomorphic blocks is a useful criterion to determine the signs and propose a formula for them. We show that the orbifold partition function of a general nongauge theory is correctly factorized provided that we take appropriate relative signs. We also present a few examples of gauge theories. We point out that the sign factor for the orbifold partition function is closely related to a similar sign factor in the lens space index and the three-dimensional index.