Non-Abelian pp-waves in
                    <i>D</i>
                    = 4 supergravity theories

We deepen and refine the classification of supersymmetric solutions to N = 2, D = 4 gauged supergravity obtained in a previous paper. In the case where the Killing vector constructed from the Killing spinor is timelike, it is shown that the nonlinear partial differential equations determining the BPS solutions can be derived from a variational principle. The corresponding action enjoys a solution-generating PSL(2, R) symmetry. In certain subcases the system reduces to different known theories, like two-dimensional dilaton gravity or the dimensionally reduced gravitational Chern-Simons theory. We find new supersymmetric solutions including, among others, kinks that interpolate between two AdS 4 vacua, electrovac waves on anti-Nariai spacetimes, or generalized Robinson-Trautman solutions. In the case where the Killing vector is null, we obtain a complete classification. The one quarter and one half supersymmetric solutions are determined explicitely, and it is shown that the fraction of three quarters of supersymmetry cannot be preserved. Finally, the general lightlike configuration is uplifted to eleven-dimensional supergravity.

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“…where f (ζ, u) is an arbitrary holomorphic function in ζ = x + iy. 8 For nonabelian generalizations see [27].…”

Section: The Lightlike Casementioning

confidence: 99%

Gauge fields with vanishing scalar invariants

Kuchynka¹

2019

Class. Quantum Grav.

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“…(see [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34] and references therein) Plane wave metrics are subsets of pp-waves with extra planar symmetry along the wave fronts. The interest in plane waves has remarkably increased since Penrose discovered that one can associate a plane wave metric to every space-time and a choice of null geodesic in that spacetime [35].…”

Section: Propositionmentioning

confidence: 99%

The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes

Düztaş

Semiz

2016

Gen Relativ Gravit

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In this work we take a formal approach to the problem of decoupling Proca equations in curved space-times. We use Newman-Penrose (NP) twospinor formalism to represent the Proca vector by one complex and two real scalars. We show that a decoupled second order differential equation for one of the real scalars can be derived if and only if the background space-time admits a covariantly constant null vector. Thus, the background space-time must be a pp-wave vacuum. We evaluate the separability of Proca, Maxwell and Dirac equations on the resulting pp-wave background.

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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

Cited by 11 publications

References 23 publications

More on BPS solutions ofN=2,D=4 gauged supergravity

More on BPS solutions ofN=2,D=4 gauged supergravity

Gauge fields with vanishing scalar invariants

The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes

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