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The Bianchi classification of maximal D = 8 gauged supergravities

✍ Scribed by E. Bergshoeff; U. Gran; R. Linares; M. Nielsen; T. Ortín; D. Roest

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
101 KB
Volume
52
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

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.

📜 SIMILAR VOLUMES

A new group theoretical technique for th
A new group theoretical technique for the analysis of Bianchi identities and its application to the auxiliary field problem of D = 5 supergravity: R. D'Auria, P. Fré, E. Maina, and T. Regge. Istituto di Física Teorica, Università di Torino, Italy
📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 81 KB

For any (super) group and hence for any geometrical (super) theory Bianchi identities imply that certain 3-forms vanish. In order to perform a systematic analysis of their implications in the presence of constraints one needs a complete basis of independent 3-forms spanning the 3-form linear space.