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All null supersymmetric backgrounds of {\cal N}=2\hbox{,}\; D=4 gauged supergravity coupled to Abelian vector multiplets

Dietmar Klemm1,2 and Emanuele Zorzan1,2

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The lightlike supersymmetric solutions of {\cal N}=2, D=4 gauged supergravity coupled to an arbitrary number of Abelian vector multiplets are classified using spinorial geometry techniques. The solutions fall into two classes, depending on whether the Killing spinor is constant or not. In both cases, we give explicit examples of supersymmetric backgrounds. Among these BPS solutions, which preserve one quarter of the supersymmetry, there are gravitational waves propagating on domain walls or on bubbles of nothing that asymptote to AdS4. Furthermore, we obtain the additional constraints obeyed by half-supersymmetric vacua. These are divided into four categories that include bubbles of nothing which are asymptotically AdS4, pp-waves on domain walls, {\rm AdS}_3 \times {\bb R} and spacetimes conformal to AdS3 times an interval.


PACS

04.65.+e Supergravity

04.30.-w Gravitational waves

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

11.30.Pb Supersymmetry

04.70.-s Physics of black holes

MSC

83E30 String and superstring theories (See also 81T30)

83C57 Black holes

83C35 Gravitational waves

83E50 Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 14 (21 July 2009)

Received 11 March 2009, in final form 27 May 2009

Published 3 July 2009



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