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.
Supergravity vacua and lorentzian Lie groups
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
verdicts
UNVERDICTED 2representative citing papers
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 supergravity with self-dual bundle gerbes.
citing papers explorer
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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.
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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 supergravity with self-dual bundle gerbes.