Maximal Gauged Supergravity in Three Dimensions

2000/10/31 by Hermann Nicolai, H. Nicolai, Henning Samtleben +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevlett.86.1686

published as Phys.Rev.Lett. 86 (2001) 1686-1689 · 10 pages, LaTeX2e, minor changes in text, references added, version to appear in Phys. Rev. Lett

arxiv created 2001/01/07 · openalex publication_date 2001/02/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We construct maximally supersymmetric gauged N\phantom\rule0ex0ex=\phantom\rule0ex0ex16 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 supergravity beyond D\phantom\rule0ex0ex=\phantom\rule0ex0ex11. 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)\ifmmode×\else\texttimes\fiSO(8) is distinguished as the maximal compact gauge group, but there are also more exotic possibilities such as F_4(\ensuremath-20)\ifmmode×\else\texttimes\fiG₂.

Cited by

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• Multiple M2-branes and the embedding tensor
• Nonlinear parent action and dual gravity
• Gauging maximal supergravities
• The maximal D=7 supergravities
• Twin supergravities
• Gauging hidden symmetries in two dimensions
• Maximal supergravity in three dimensions: supergeometry and differential forms