On The Supersymmetric Solutions of D=3 Half-maximal Supergravities

Details On The Supersymmetric Solutions of D=3 Half-maximal Supergravities On The Supersymmetric Solutions of D=3 Half-maximal Supergravities

2010-03-16

arxiv.org/abs/1003.3119v1

Nucl.Phys.B840:29-53,2010

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1016/j.nuclphysb.2010.06.020

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N=8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a technique originally developed and applied in higher dimensions. This reveals an intriguing interplay with the scalar target space geometry SO(8,n)/(SO(8) x SO(n)). Another interesting feature of the three-dimensional case is the implementation of the duality between vector and scalar fields in this framework. For the ungauged theory with timelike Killing vector, we explicitly determine the scalar current and show that its integrability relation reduces to a covariant holomorphicity equation, for which we present a number of explicit solutions. For the case of a null Killing vector, we give the most general solution which is of pp-wave type.

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