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arXiv · 1206.6359

Seiberg-Witten Theories on Ellipsoids

Naofumi Hama·Kazuo Hosomichi
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Abstract

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.

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Naofumi Hama, Kazuo Hosomichi. 2012-09-14. Seiberg-Witten Theories on Ellipsoids. https://doi.org/10.1007/jhep09(2012)033

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