Gauged supergravities from Bianchi's group manifolds

Details Gauged supergravities from Bianchi's group manifolds Gauged supergravities from Bianchi's group manifolds

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21s1501b&link_type=abstract

Classical and Quantum Gravity, Volume 21, Issue 10, pp. S1501-S1507 (2004).

Physics

2

Scientific paper

We construct maximal D = 8 gauged supergravities by the reduction of D = 11 supergravity over three-dimensional group manifolds. Such manifolds are classified into two classes, A and B, and eleven types. This Bianchi classification carries over to the gauged supergravities. The class A theories have 1/2 BPS domain wall solutions that uplift to purely gravitational solutions consisting of 7D Minkowski and a 4D Euclidean geometry. These geometries are generically singular. The two regular exceptions correspond to the near-horizon limit of the single- or double-centre Kaluza Klein monopole. In contrast, the class B supergravities are defined by a set of equations of motion that cannot be integrated to an action and allow for no 1/2 BPS domain walls.

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