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arXiv · 0902.0655

Supersymmetric AdS_3 solutions in Heterotic Supergravity

Hiroshi Kunitomo·Mitsuhisa Ohta
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Abstract

We analyze the AdS_3 x M_7 type supersymmetric solutions, including non-trivial fluxes, of the Killing spinor equations in the heterotic supergravity. We classify these solutions by their G-structures and intrinsic torsions, for the cases that the number of seven-dimensional Killing spinors N are equal to 1,2,3 and 4. We find that the solutions cannot have non-trivial warp factor and the seven dimensional manifold M_7 is charactrized by G_2(SU(3))-structures for N=1 (2) case and SU(2)-structure for N=3 and 4 cases. They are further classified by their non-trivial intrinsic torsions. It is shown, including the leading order α'-corrections, that if we impose the Bianchi identities, the integrability conditions of the Killing spinor equations imply all the field equations.

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Hiroshi Kunitomo, Mitsuhisa Ohta. 2009-11-04. Supersymmetric AdS_3 solutions in Heterotic Supergravity. https://doi.org/10.1143/ptp.122.631

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