Four-dimensional N=4 SO(4) Gauged Supergravity from D=11

Abstract

We construct the complete and explicit non-linear Kaluza-Klein Ansatz for deriving the bosonic sector of the standard N=4 SO(4) gauged four-dimensional supergravity from the reduction of D=11 supergravity on S^7. This provides a way of interpreting all bosonic solutions of the four-dimensional gauged theory as exact solutions in eleven-dimensional supergravity. We discuss certain limiting forms of the Kaluza-Klein reduction, and compare them with related forms in the Freedman-Schwarz N=4 SU(2)xSU(2) gauged theory. This leads us to the result that the Freedman-Schwarz model is in fact a singular limiting case of the standard SO(4) gauged supergravity. We show that in this limit, our Ansatz for getting the SO(4) gauged theory as an S^7 reduction from D=11 indeed reduces to an S^3 x S^3 reduction from D=10, which makes contact with previous results in the literature. We also show that there is no distinction to be made between having equal or unequal values for the gauge coupling constants $g$ and $\tilde{g}$ of the two SU(2) gauge-group factors in the standard N=4 SO(4) gauged supergravity, whilst by contrast the ratio of $g$ to $\tilde{g}$ is a non-trivial parameter of the Freedman-Schwarz model.

Latex, 23 pages: Extended discussion of Freedman-Schwarz limit, and references added

References in corpus (6)

• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Gauged Six-dimensional Supergravity from Massive Type IIA
• Symmetric Potentials of Gauged Supergravities in Diverse Dimensions and Coulomb Branch of Gauge Theories
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• States and Curves of Five-Dimensional Gauged Supergravity
• Exact Embedding of N=1, D=7 Gauged Supergravity in D=11

Cited by in corpus (67)

• Wormholes in AdS
• Consistent Kaluza-Klein Sphere Reductions
• Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
• Pseudogap and time reversal breaking in a holographic superconductor
• Dyonic AdS black holes in maximal gauged supergravity
• Time Variation of the Fine Structure Constant Driven by Quintessence
• Supersymmetric Janus Solutions in Four Dimensions
• Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
• Universal RG Flows Across Dimensions and Holography
• AdS Euclidean wormholes
• Consistent truncation of d = 11 supergravity on AdS_4 x S^7
• Consistent Group and Coset Reductions of the Bosonic String
• Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions
• Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8 Supergravity
• Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
• Domain-wall/Cosmology correspondence in adS/dS supergravity
• New AdS non Abelian black holes with superconducting horizons
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• New hairy black hole solutions with a dilaton potential
• Electric-magnetic deformations of D=4 gauged supergravities
• Bubbling 1/4 BPS solutions in type IIB and supergravity reductions on S^n x S^n
• A Dielectric Flow Solution with Maximal Supersymmetry
• An $\omega$ Deformation of Gauged STU Supergravity
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Testing the non-linear flux ansatz for maximal supergravity
• The complete $D=11$ embedding of SO(8) supergravity
• SU(2) Reduction of Six-dimensional (1,0) Supergravity
• Consistent reductions of IIB*/M* theory and de Sitter supergravity
• A supersymmetric reduction on the three-sphere
• Spatially modulated and supersymmetric deformations of ABJM theory
• Consistency of Kaluza-Klein Sphere Reductions of Symmetric Potentials
• Geometry of The Embedding of Supergravity Scalar Manifolds in D=11 and D=10
• Two-charge rotating black holes in four-dimensional gauged supergravity
• Dynamic C-metrics in (Gauged) Supergravities
• C-metrics in Gauged STU Supergravity and Beyond
• The Embedding of Gauged STU Supergravity in Eleven Dimensions
• Susy Q and spatially modulated deformations of ABJM theory
• Holographic RG Flow in a New $SO(3)\times SO(3)$ Sector of $\omega$-Deformed $SO(8)$ Gauged $\mathcal{N}=8$ Supergravity
• Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations
• Ghost-Free de Sitter Supergravities as Consistent Reductions of String and M-theory
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Topological AdS/CFT
• Pseudo-supersymmetry, Consistent Sphere Reduction and Killing Spinors for the Bosonic String
• Consistent truncations in higher derivative supergravity
• Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions
• Godel Universe from String Theory
• Non-Abelian fields in AdS${}_4$ spacetime: axially symmetric, composite configurations
• A non-singular infra-red flow from D=5 gauged supergravity
• PP-waves in AdS Gauged Supergravities and Supernumerary Supersymmetry
• Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
• Nut-charged black holes in matter-coupled N=2, D=4 gauged supergravity
• Regular non-Abelian vacua in $\mathcal{N}=4$, SO(4) gauged supergravity
• AdS Q-Soliton and Inhomogeneously mass-deformed ABJM Model
• Euclidean M-theory background dual to three-dimensional scale invariant field theory without conformal invariance
• Gravitational free energy in topological AdS/CFT
• Supersymmetry and the AdS Higgs Phenomenon
• Consistent Pauli Sphere Reductions and the Action
• Instability by Chern-Simons and/or Transgressions
• N=8 Gauged Supergravity Theory and N=6 Superconformal Chern-Simons Matter Theory
• Rounding out the story of higher derivative consistent truncations
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• New Solution of D=11 Supergravity on S^7 from D=4
• Thermodynamics of spinning AdS4 black holes in gauged supergravity
• Lifshitz and Schrodinger Vacua, Superstar Resolution in Gauged Maximal Supergravities
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Towards New Membrane Flow from de Wit-Nicolai Construction