Non-Abelian pp-waves in D=4 supergravity theories

Abstract

The non-Abelian plane waves, first found in flat spacetime by Coleman and subsequently generalized to give pp-waves in Einstein-Yang-Mills theory, are shown to be 1/2 supersymmetric solutions of a wide variety of N=1 supergravity theories coupled to scalar and vector multiplets, including the theory of SU(2) Yang-Mills coupled to an axion σand dilaton ϕrecently obtained as the reduction to four-dimensions of the six-dimensional Salam-Sezgin model. In this latter case they provide the most general supersymmetric solution. Passing to the Riemannian formulation of this theory we show that the most general supersymmetric solution may be constructed starting from a self-dual Yang-Mills connection on a self-dual metric and solving a Poisson equation for e^ϕ. We also present the generalization of these solutions to non-Abelian AdS pp-waves which allow a negative cosmological constant and preserve 1/4 of supersymmetry.

Latex, 1+12 pages

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Cited by in corpus (6)

• More on BPS solutions of N=2, D=4 gauged supergravity
• Plane fronted gravitational waves in Lovelock-Yang-Mills theory
• Type III Einstein-Yang-Mills solutions
• The curvature homogeneity bound for Lorentzian four-manifolds
• The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes
• Gauge fields with vanishing scalar invariants