Thursday, June 28, 2012

1206.6359 (Naofumi Hama et al.)

Seiberg-Witten Theories on Ellipsoids    [PDF]

Naofumi Hama, Kazuo Hosomichi
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. Four-dimensional ellipsoids with U(1)xU(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.
View original: http://arxiv.org/abs/1206.6359

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