Seiberg-Witten theories on ellipsoids

By Naofumi Hama, K. Hosomichi. 2012

253 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fefce266225046f06f050301955f8be9c73e9400

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

5-dim superconformal index with enhanced En global symmetry (2012, background): “The 4d ellipsoid given in [48] would probably be one of these ellipsoids after correctly identifying the chemical potentials with the squashing parameters in the ellipsoid.”
Supersymmetry on curved spaces and holography (2012, background): “Note also that one way of refining the correspondence, which is tightly related with the subject of supersymmetry on curved manifolds, is obtained by considering the partition function on a four dimensional ellipsoid [10].”
Supersymmetric field theories on three-manifolds (2012, background): “Following [1-4], much work has focused on supersymmetric theories on round and squashed spheres [5-13].”
General instanton counting and 5d SCFT (2014, background): “The usefulness of this partition function in the 4d and 5d SUSY partition functions on curved spaces was also shown in [4, 5] and [6–15].”
$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization (2019, unknown): “ion, extending the quadratic calculation of [39]. A further constraint could come from considering the free energy F(b) on the squashed sphere S4 b , which has also been computed from localization in [85] and is a nontrivial function of . Derivatives of b would give integrated correlators of the str”