Maximal gauged supergravity in three dimensions

Nicolai, Hermann; Samtleben, Henning

doi:10.1103/PhysRevLett.86.1686

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Maximal gauged supergravity in three dimensions

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Nicolai, Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Nicolai, H., & Samtleben, H. (2001). Maximal gauged supergravity in three dimensions. Physical Review Letters, 86(9), 1686-1689. doi:10.1103/PhysRevLett.86.1686.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-55AE-4

Abstract

We construct maximally supersymmetric gauged N = 16 supergravity in three dimensions, thereby obtaining an entirely new class of anti-de Sitter supergravities. These models apparently cannot be derived from any known higher-dimensional theory and point to the existence of a new type of super gravity beyond D = 11. One of their noteworthy features is a non-Abelian generalization of the duality between scalar and vector fields in three dimensions. Among the possible gauge groups, SO(8) x SO(8) is distinguished as the maximal compact gauge group, but there are also more exotic possibilities such as F4(-20) x G(2).