7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory

Abstract

We show how to construct seven-dimensional half-maximally supersymmetric consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$ exceptional field theory. Such truncations are defined on generalised $\mathrm{SU}(2)$-structure manifolds and give rise to seven-dimensional half-maximal gauged supergravities coupled to $n$ vector multiplets and thus with scalar coset space ${\mathbb{R}}^{+}\times \mathrm{O}(3,n)/\mathrm{O}(3)\times \mathrm{O}(n)$. The consistency conditions for the truncation can be written in terms of the generalised Lie derivative and take a simple geometric form. We show that after imposing certain "doublet" and "closure" conditions, the embedding tensor of the gauged supergravity is given by the intrinsic torsion of generalised $\mathrm{SU}(2)$-connections and automatically satisfies the linear constraint of seven-dimensional half-maximal gauged supergravities, as well as the quadratic constraint when the section condition is satisfied.

46 pages; v2: minor changes, published version

References in corpus (15)

• Double Field Theory
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• Generalized Geometry and M theory
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Supergravities without an Action: Gauging the Trombone
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Type II compactifications on manifolds with SU(2) x SU(2) structure

Cited by in corpus (19)

• Half-maximal supersymmetry from exceptional field theory
• Systematics of consistent truncations from generalised geometry
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• O(d+1,d+1) enhanced double field theory
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Locally non-geometric fluxes and missing momenta in M-theory
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Consistent truncations in higher derivative supergravity
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Consistent truncations to 3-dimensional supergravity
• Supersymmetric AdS backgrounds and weak generalised holonomy
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Supergravity Fluxes and Generalised Geometry
• Flux Backgrounds and Exceptional Generalised Geometry