Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3

Abstract

We construct the effective supergravity actions for the lowest massive Kaluza-Klein states on the supersymmetric background AdS_3 x S^3 x S^3. In particular, we describe the coupling of the supergravity multiplet to the lowest massive spin-3/2 multiplet which contains 256 physical degrees of freedom and includes the moduli of the theory. The effective theory is realized as the broken phase of a particular gauging of the maximal three-dimensional supergravity with gauge group SO(4) x SO(4). Its ground state breaks half of the supersymmetries leading to 8 massive gravitinos acquiring mass in a super Higgs effect. The holographic boundary theory realizes the large N=(4,4) superconformal symmetry.

arXiv comment31 pages, v2: minor changes

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• AdS${}_3$ vacua and RG flows in three dimensional gauged supergravities
• On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• 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
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• New N=5,6, 3D gauged supergravities and holography
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions