SUSY gauge theories on squashed three-spheres
SUSY gauge theories on squashed three-spheres
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DOI：
10.1007/jhep05(2011)014
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发表时间：
2011-02
影响因子：
5.4
通讯作者：
Naofumi Hama;Kazuo Hosomichi;Sungjay Lee
中科院分区：
文献类型：
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作者：
Naofumi Hama;Kazuo Hosomichi;Sungjay Lee
我们研究关于保持等距 SU (2)× U (1) 或 U (1)× U (1) 的压扁三球体的欧几里得 3D 超对称规范理论。我们证明，当打开合适的背景 U (1) 规范场时，这些被压扁的球体支持带电杀死旋量，因此支持超对称规范理论。我们提出了一般规范理论的拉格朗日和超对称规则。配分函数使用定域原理计算，并表示为库仑分支上的积分。对于具有 U (1)× U (1) 等距的压扁球体，其测度和被积函数可通过 Liouville 或 Toda 共形场论中 b≠ 1 的结构常数的构建块来识别。
We study Euclidean 3Dsupersymmetric gauge theories on squashed three-spheres preserving isometries SU (2)× U (1) or U (1)× U (1). We show that, when a suitable background U (1) gauge field is turned on, these squashed spheres support charged Killing spinors and thereforesupersymmetric gauge theories. We present the Lagrangian and supersymmetry rules for general gauge theories. The partition functions are computed using localization principle, and are expressed as integrals over Coulomb branch. For the squashed sphere with U (1)× U (1) isometry, its measure and integrand are identified with the building blocks of structure constants in Liouville or Toda conformal field theories with b≠ 1.