Consistent $S^3$ reductions of six-dimensional supergravity

Abstract

We work out the consistent AdS${}_3\times S^3$ truncations of the bosonic sectors of both the six-dimensional $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,0)$ supergravity theories. They result in inequivalent three-dimensional half-maximal $\mathrm{SO}(4)$ gauged supergravities describing 32 propagating bosonic degrees of freedom apart from the non-propagating supergravity multiplet. We present the full non-linear Kaluza-Klein reduction formulas and illustrate them by explicitly uplifting a number of AdS${}_3$ vacua.

28 pages, no figures; ver 2: references added

References in corpus (8)

• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged N=4 supergravities
• Half-maximal supersymmetry from exceptional field theory
• Holographic correlators in AdS${}_3$
• O(d+1,d+1) enhanced double field theory
• A supersymmetric reduction on the three-sphere
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions

Cited by in corpus (11)

• Microstate Geometries from Gauged Supergravity in Three Dimensions
• New Superstrata from Three-Dimensional Supergravity
• AdS${}_3$ holography for non-BPS geometries
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Supersymmetry and Superstrata in Three Dimensions
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• Consistent truncations in higher derivative supergravity
• Janus solutions in three-dimensional N=8 gauged supergravity
• Rounding out the story of higher derivative consistent truncations
• Separability in Consistent Truncations
• Elliptical and Purely NS Superstrata