The exceptional story of massive IIA supergravity

Abstract

The framework of exceptional field theory is extended by introducing consistent deformations of its generalised Lie derivative. For the first time, massive type IIA supergravity is reproduced geometrically as a solution of the section constraint. This provides a unified description of all ten- and eleven-dimensional maximal supergravities. The action of the E7 deformed theory is constructed, and reduces to those of exceptional field theory and gauged maximal supergravity in respective limits. The relation of this new framework to other approaches for generating the Romans mass non-geometrically is discussed.

39 pages. v2: typos corrected, references added. v3: typos corrected, references added, published version

References in corpus (13)

• Generalized Geometry and M theory
• Lectures on Gauged Supergravity and Flux Compactifications
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Exceptional field theory: $SO(5,5)$
• Symplectic Deformations of Gauged Maximal Supergravity
• Supergravities without an Action: Gauging the Trombone
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• U-dual fluxes and Generalized Geometry
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory

Cited by in corpus (47)

• Gauged Supergravities
• Type II origin of dyonic gaugings
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Systematics of consistent truncations from generalised geometry
• Generalized gravity from modified DFT
• The Geometry, Branes and Applications of Exceptional Field Theory
• U-duality extension of Drinfel'd double
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Generalized IIB supergravity from exceptional field theory
• Beyond E11
• E${}_9$ exceptional field theory I. The potential
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• A master exceptional field theory
• Non-Riemannian geometry of M-theory
• E${}_9$ exceptional field theory II. The complete dynamics
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Hairy Black Holes and Duality in an Extended Supergravity Model
• Double Field Theory at SL(2) angles
• Weaving the Exotic Web
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Super-Chern-Simons spectra from Exceptional Field Theory
• Exceptional algebroids and type IIB superstrings
• Minimal $D=4$ truncations of type IIA
• Particle actions and brane tensions from double and exceptional geometry
• Halving ISO(7) supergravity
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
• Consistent truncations to 3-dimensional supergravity
• The bosonic string on string-size tori from double field theory
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• Maximal D=2 supergravities from higher dimensions
• Generalizing eleven-dimensional supergravity
• Generalized 11D supergravity equations from tri-vector deformations
• A geometric formulation of exceptional field theory
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Consistent truncations from the geometry of sphere bundles
• Double Field Theory and Pseudo-Supersymmetry
• Exceptional algebroids and type IIA superstrings