Supergravity vacua and lorentzian Lie groups

Details Supergravity vacua and lorentzian Lie groups Supergravity vacua and lorentzian Lie groups

2003-06-27

arxiv.org/abs/hep-th/0306278v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

We classify maximally supersymmetric backgrounds (vacua) of chiral (1,0) and (2,0) supergravities in six dimensions and, by reduction, also those of the minimal N=2 supergravity in five dimensions. Up to R-symmetry, the (2,0) vacua are in one-to-one correspondence with (1,0) vacua, and these in turn are locally isometric to Lie groups admitting a bi-invariant lorentzian metric with anti-selfdual parallelising torsion, which we classify. We then show that the five-dimensional vacua are homogeneous spaces arising canonically as the spaces of right cosets of spacelike one-parameter subgroups.

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