English

Rigid 4D N=2 supersymmetric backgrounds and actions

High Energy Physics - Theory 2015-10-28 v2

Abstract

We classify all N=2 rigid supersymmetric backgrounds in four dimensions with both Lorentzian and Euclidean signature that preserve eight real supercharges, up to discrete identifications. Among the backgrounds we find specific warpings of S^3 x R and AdS_3 x R, AdS_2 x S^2 and H^2 x S^2 with generic radii, and some more exotic geometries. We provide the generic two-derivative rigid vector and hypermultiplet actions and analyze the conditions imposed on the special Kahler and hyperkahler target spaces.

Keywords

Cite

@article{arxiv.1505.03500,
  title  = {Rigid 4D N=2 supersymmetric backgrounds and actions},
  author = {Daniel Butter and Gianluca Inverso and Ivano Lodato},
  journal= {arXiv preprint arXiv:1505.03500},
  year   = {2015}
}

Comments

50 + 17 pages; v2: minor corrections, published version

R2 v1 2026-06-22T09:33:44.424Z