The Bianchi classification of maximal D=8 gauged supergravities

E Bergshoeff*, U Gran, R Linares, M Nielsen, T Ortin, D Roest

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)


We construct maximal D = 8 gauged supergravities by the reduction of D = 11 supergravity over three-dimensional group manifolds. Such manifolds have been classified by Bianchi. We divide the corresponding gauged supergravities into two classes: class A (with a Lagrangian) and class B (without a Lagrangian). 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-center or double-centered 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. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Original languageEnglish
Pages (from-to)472-476
Number of pages5
JournalFortschritte der physik-Progress of physics
Issue number6-7
Publication statusPublished - 2004
Event36th International Symposium Ahrenshoop on the Theory of Elementary Particles - , Germany
Duration: 26-Aug-200330-Aug-2003

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