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Seiberg-Witten theories on ellipsoids

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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. 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.

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan

    Naofumi Hama & Kazuo Hosomichi

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  1. Naofumi Hama
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  2. Kazuo Hosomichi
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Correspondence to Naofumi Hama.

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ArXiv ePrint: 1206.6359

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Hama, N., Hosomichi, K. Seiberg-Witten theories on ellipsoids. J. High Energ. Phys. 2012, 33 (2012). https://doi.org/10.1007/JHEP09(2012)033

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  • DOI: https://doi.org/10.1007/JHEP09(2012)033

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