Gauged N=4 supergravities

Abstract

We present the gauged N=4 (half-maximal) supergravities in four and five spacetime dimensions coupled to an arbitrary number of vector multiplets. The gaugings are parameterized by a set of appropriately constrained constant tensors, which transform covariantly under the global symmetry groups SL(2) x SO(6,n) and SO(1,1) x SO(5,n), respectively. In terms of these tensors the universal Lagrangian and the Killing Spinor equations are given. The known gaugings, in particular those originating from flux compactifications, are incorporated in the formulation, but also new classes of gaugings are found. Finally, we present the embedding chain of the five dimensional into the four dimensional into the three dimensional gaugings, thereby showing how the deformation parameters organize under the respectively larger duality groups.

36 pages, v2: references added, comments added, v3: published version, references added, typos corrected, v4: sign mistakes in footnote 4 and equation (2.13) corrected

Cited by in corpus (36)

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• A supersymmetric consistent truncation for conifold solutions
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Supergravities without an Action: Gauging the Trombone
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Multiple M2-branes and the Embedding Tensor
• Type-IIA flux compactifications and N=4 gauged supergravities
• U-dual fluxes and Generalized Geometry
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• How to halve maximal supergravity
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Beyond Twisted Tori
• Gauged Supergravities in Various Spacetime Dimensions
• Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories
• Conformal invariance from non-conformal gravity
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• Metastable supersymmetry breaking in extended supergravity
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• Supergravity and M-Theory
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• Gaugings at angles from orientifold reductions
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on Asymptotically-AdS_5
• Group Reduction of Heterotic Supergravity
• Generalized Attractors in Five-Dimensional Gauged Supergravity
• Couplings of N=1 chiral spinor multiplets
• Maximal Nine Dimensional Supergravity, General gaugings and the Embedding Tensor
• Generalized Geometry and Partial Supersymmetry Breaking
• Non-unimodular reductions and N = 4 gauged supergravities
• Duality phases and halved maximal D=4 supergravity