A note on the Hyper-CR equation, and gauged N= 2 supergravity

2018/01/25 by Maciej Dunajski, Jan Gutowski, J. Gutowski +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Construct (python library) #Einstein #Gauged supergravity #Mathematical physics #Nonlinear Waves and Solitons #Physics #Space (punctuation) #Supergravity #Supersymmetry #Theoretical physics #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/j.physletb.2018.02.074

5 pages

arxiv created 2018/01/25 · openalex publication_date 2018/03/05 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We construct a new class of solutions to the dispersionless hyper-CR equation, and show how any solution to this equation gives rise to a supersymmetric Einstein–Maxwell cosmological space–time in (3+1)-dimensions.

Citations

• On supersymmetric Lorentzian Einstein–Weyl spaces
• On the -dressing method applicable to heavenly equation
• A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields