Consistent truncations to 3-dimensional supergravity

Galli, Michele

doi:10.1007/JHEP09(2022)014

2022-09-02

Galli, Michele *

Emanuel Malek

DOI：10.1007/JHEP09(2022)014

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摘要

En 中文

We show how to construct consistent truncations of 10-/11-dimensional supergravity to 3-dimensional gauged supergravity, preserving various amounts of supersymmetry. We show, that as in higher dimensions, consistent truncations can be defined in terms of generalised G-structures in Exceptional Field Theory, with G subset of E-8(8) for the 3-dimensional case. Differently from higher dimensions, the generalised Lie derivative of E-8(8) Exceptional Field Theory requires a set of covariantly constrained fields to be well-defined, and we show how these can be constructed from the G-structure itself. We prove several general features of consistent truncations, allowing us to rule out a higher-dimensional origin of many 3-dimensional gauged supergravities. In particular, we show that the compact part of the gauge group can be at most SO(9) and that there are no consistent truncations on a 7-or 8-dimensional product of spheres such that the full isometry group of the spheres is gauged. Moreover, we classify which matter-coupled N >= 4 gauged supergravities can arise from consistent truncations. Finally, we give several examples of consistent truncations to three dimensions. These include the truncations of IIA and IIB supergravity on S-7 leading to two different N = 16 gauged supergravites, as well as more general IIA/IIB truncations on H-p,H-7-p. We also show how to construct consistent truncations of IIB supergravity on S-5 fibred over a Riemann surface. These result in 3-dimensional Al = 4 gauged supergravities 4) with scalar manifold M = SO(6,4)/SO(6)xSO(4) x SU(2,1)/S(U(1)xU(2)) with a ISO(3) x U(1)(4) gauging and SO(6) x SO(4) S(U(D x U(2)) for hyperboloidal Riemann surfaces contain N = (2, 2) AdS(3) vacua.

Keyword:

AdS-CFT Correspondence

Flux Compactifications

Supergravity Models

Superstring Vacua