Kaluza-Klein supergravity on AdS_3 x S^3

Abstract

We construct a Chern-Simons type gauged N=8 supergravity in three spacetime dimensions with gauge group SO(4) x T_\infty over the infinite dimensional coset space SO(8,\infty)/(SO(8) x SO(\infty)), where T_\infty is an infinite dimensional translation subgroup of SO(8,\infty). This theory describes the effective interactions of the (infinitely many) supermultiplets contained in the two spin-1 Kaluza-Klein towers arising in the compactification of N=(2,0) supergravity in six dimensions on AdS_3 x S^3 with the massless supergravity multiplet. After the elimination of the gauge fields associated with T_\infty, one is left with a Yang Mills type gauged supergravity with gauge group SO(4), and in the vacuum the symmetry is broken to the (super-)isometry group of AdS_3 x S^3, with infinitely many fields acquiring masses by a variant of the Brout-Englert-Higgs effect.

LaTeX2e, 24 pages; v2: references updated

References in corpus (6)

• Gauged locally supersymmetric D=3 nonlinear sigma models
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• More on Superstrings in AdS(3) x N
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• SU(2) Reduction of Six-dimensional (1,0) Supergravity
• Yang-Mills-Chern-Simons Supergravity

Cited by in corpus (29)

• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• On the evolution of tachyonic perturbations at super-Hubble scales
• Gauss-Bonnet supergravity in six dimensions
• Microstate Geometries from Gauged Supergravity in Three Dimensions
• Consistent $S^3$ reductions of six-dimensional supergravity
• O(d+1,d+1) enhanced double field theory
• A supersymmetric reduction on the three-sphere
• New Superstrata from Three-Dimensional Supergravity
• Comments on Cosmic Censorship in AdS/CFT
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• AdS${}_3$ vacua and RG flows in three dimensional gauged supergravities
• Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3
• Supersymmetry and Superstrata in Three Dimensions
• Non-perturbative contributions to the plane-wave string mass matrix
• Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions
• On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• Holography of D-Brane Reconnection
• Gauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Penrose limit of MNa solution and spin chains in three-dimensional field theories
• New N=5,6, 3D gauged supergravities and holography
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions
• Elliptical and Purely NS Superstrata