Supergravity vacua and lorentzian Lie groups
read the original abstract
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.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.
-
Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes
Develops complex spinorial forms to classify quasi-supersymmetric solutions of gauged supergravity as four-parameter families of complete gyratonic Brinkmann waves and derives foliation conditions for six-dimensional ...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.