Seiberg-Witten Theories on Ellipsoids
High Energy Physics - Theory
2015-06-05 v3
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.
Cite
@article{arxiv.1206.6359,
title = {Seiberg-Witten Theories on Ellipsoids},
author = {Naofumi Hama and Kazuo Hosomichi},
journal= {arXiv preprint arXiv:1206.6359},
year = {2015}
}
Comments
1+27 pages, no figures. v2: references added, minor corrections. (published in JHEP) v3: results on FI-term added