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

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arxiv 1907.08413 v2 pith:AUEXJK6N submitted 2019-07-19 hep-th gr-qc

Henning Samtleben , Özgür Sar{i}oğlu This is my paper · ORCID
classification hep-thgr-qc
keywords supergravitybosonicconsistentsix-dimensionalapartdegreesdescribingexplicitly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We work out the consistent AdS$_3\times S^3$ truncations of the bosonic sectors of both the six-dimensional ${\cal N}=(1,1)$ and ${\cal N}=(2,0)$ supergravity theories. They result in inequivalent three-dimensional half-maximal ${\rm SO}(4)$ 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.

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  1. The Special Locus

    hep-th 2025-05 conditional novelty 6.0 of 10

    The special locus is equivalent to vanishing twisted gauge fields in 3D and to the 6D identity B2 = 1/4 B1, which trivializes one anti-self-dual tensor multiplet.

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