Rigid 4D N = 2 N=2 supersymmetric backgrounds and actions

2015/05/31 by Daniel Butter, Gianluca Inverso, Ivano Lodato
Physics and Astronomy · #Black Holes and Theoretical Physics #Mathematical physics #Minimal Supersymmetric Standard Model #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Superpotential #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep09(2015)088

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

openalex publication_date 2015/09/01 · arxiv created 2015/09/28 · arxiv updated 2015/10/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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 S³× ℝ and AdS₃× ℝ , AdS2 × S 2 and H 2 × 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 Kähler and hyperkähler target spaces.

Citations

• Supersymmetric Spacetimes from Curved Superspace
• On N=2 supersymmetric gauge theories on S²XS²
• Component reduction in N = 2 supergravity: the vector, tensor, and vector-tensor multiplets
• Geometric construction of Killing spinors and supersymmetry algebras in homogeneous spacetimes
• The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space
• Chiral supergravity actions and superforms
• Maximally supersymmetric solutions ofD= 4N= 2 gauged supergravity
• Supersymmetry and Supergravity
• On conformal supergravity and projective superspace
• N = 2 conformal superspace in four dimensions
• Supersymmetric gauge theories onS4×S1
• Partition functions for equivariantly twisted N=2 gauge theories on toric Kähler manifolds
• Superconformal hypermultiplets