Seiberg-Witten theories on ellipsoids
Seiberg-Witten theories on ellipsoids
复制标题
DOI：
10.1007/jhep09(2012)033
复制
发表时间：
2012-06
影响因子：
5.4
通讯作者：
Naofumi Hama;Kazuo Hosomichi
中科院分区：
文献类型：
--
作者：
Naofumi Hama;Kazuo Hosomichi
我们提出了一组方程的4D Killing旋量，保证Seiberg-Witten理论在弯曲的背景是超对称的。方程中除了度规外，还包括SU（2）规范场和一些辅助场。如果适当地选择这些附加场，则具有U（1）× U（1）等距的四维椭球具有超对称性.我们计算了椭球面上的一般Seiberg-Witten理论的配分函数，结果表明它与具有一般耦合常数B的二维Liouville或户田子的配分函数是一致的.
We present a set of equations for a 4D Killing spinor which guarantees the Seiberg-Witten theories on a curved background to be supersymmetric. The equations involve an SU (2) gauge field and some auxiliary fields in addition to the metric. Fourdimensional ellipsoids with U (1)× U (1) isometry are shown to admit a supersymmetry if these additional fields are chosen appropriately. We compute the partition function of general Seiberg-Witten theories on ellipsoids, and the result suggests a correspondence with 2D Liouville or Toda correlators with general coupling constant b.