Non-semisimple and Complex Gaugings of N=16 Supergravity

Abstract

Maximal and non-maximal supergravities in three dimensions allow for a large variety of semisimple (Chern-Simons) gauge groups. In this paper, we analyze non-semisimple and complex gauge groups that satisfy the pertinent consistency relations for a maximal (N=16) gauged supergravity to exist. We give a general procedure how to generate non-semisimple gauge groups from known admissible semisimple gauge groups by a singular boost within E_{8(8)}. Examples include the theories with gauge group SO(8) x T_{28} that describe the reduction of IIA/IIB supergravity on the seven-sphere. In addition, we exhibit two `strange embeddings' of the complex gauge group SO(8,C) into (real) E_{8(8)} and prove that both can be consistently gauged. We discuss the structure of the associated scalar potentials as well as their relation to those of D>3 gauged supergravities.

arXiv commentLaTeX2e, 30 pages; v2: minor corrections, version published in CMP

References in corpus (19)

• Dualisation of Dualities, I
• Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
• On Lagrangians and Gaugings of Maximal Supergravities
• Maximal gauged supergravity in three dimensions
• Consistent Kaluza-Klein Sphere Reductions
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• Domain Walls from Anti-de Sitter Spacetime
• Locally supersymmetric D=3 non-linear sigma models
• Gauged locally supersymmetric D=3 nonlinear sigma models
• Gauging of Flat Groups in Four Dimensional Supergravity
• N=8 matter coupled AdS_3 supergravities
• An exceptional geometry for d=11 supergravity?
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• New Gauged N=8, D=4 Supergravities
• Non-Semisimple Gaugings of D=5 N=8 Supergravity and FDA.s
• Supergravity Duals of Matrix String Theory
• Vacua of Maximal Gauged D=3 Supergravities
• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra
• Some stationary points of gauged N=16 D=3 supergravity

Cited by in corpus (23)

• Gauged locally supersymmetric D=3 nonlinear sigma models
• Kaluza-Klein supergravity on AdS_3 x S^3
• Cosmological backgrounds of superstring theory and Solvable Algebras: Oxidation and Branes
• The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin
• M-theory and Gauged Supergravities
• Dualising consistent IIA / IIB truncations
• On the moduli space of spontaneously broken N = 8 supergravity
• A Note on E11 and Three-dimensional Gauged Supergravity
• Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3
• Domain walls in three dimensional gauged supergravity
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• Vacua and RG flows in N=9 three dimensional gauged supergravity
• Consistent truncations to 3-dimensional supergravity
• Vacua of $\omega$-deformed SO(8) supergravity
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• Vacua of N=10 three dimensional gauged supergravity
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Massive Kaluza-Klein Theories and their Spontaneously Broken Symmetries
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• Two dimensional RG flows and Yang-Mills instantons
• New N=5,6, 3D gauged supergravities and holography
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity