All maximal gauged supergravities with uplift
arXiv:2212.14886 · doi:10.1093/ptep/ptad104
Abstract
Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete classification. We resolve this issue and present an explicit construction, and with it a full classification, of generalised parallelisable spaces for maximal gauged supergravities in four or more dimensions. All embedding tensors that can be realised without breaking the section condition of exceptional field theory are identified and the corresponding generalised frame fields are constructed. This finally resolved the old question: "Which maximal gauged supergravities have uplifts to 10/11d?". Furthermore, it provides the basis to explore solution generating techniques based on generalised dualities.
41 pages, published version
References in corpus (67)
- Double Field Theory
- Generalized metric formulation of double field theory
- E_11 and M Theory
- Generalised Geometry for M-Theory
- The gauge algebra of double field theory and Courant brackets
- On Lagrangians and Gaugings of Maximal Supergravities
- Generalized Geometry and M theory
- Exceptional Form of D=11 Supergravity
- M-theory, exceptional generalised geometry and superpotentials
- Exceptional Field Theory I: covariant Form of M-Theory and Type IIB
- Maximal gauged supergravity in three dimensions
- Exceptional Field Theory III: E
- The gauge structure of generalised diffeomorphisms
- T-duality, Generalized Geometry and Non-Geometric Backgrounds
- , SL(32) and Central Charges
- Lectures on Gauged Supergravity and Flux Compactifications
- Exceptional Field Theory II: E
- The maximal D=4 supergravities
- Consistent Kaluza-Klein Truncations via Exceptional Field Theory
- Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
- Duality orbits of non-geometric fluxes
- Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
- Duality Invariant Actions and Generalised Geometry
- The local symmetries of M-theory and their formulation in generalised geometry
- Extended geometry and gauged maximal supergravity
- The maximal D=5 supergravities
- Magnetic charges in local field theory
- Generalized E(7(7)) coset dynamics and D=11 supergravity
- Consistent Type IIB Reductions to Maximal 5D Supergravity
- Poisson-Lie T-Duality in Double Field Theory
- Representations of G+++ and the role of space-time
- Doubled aspects of generalised dualities and integrable deformations
- E_{11} origin of Brane charges and U-duality multiplets
- Supergravities without an Action: Gauging the Trombone
- Flux Compactifications of M-Theory on Twisted Tori
- An exceptional geometry for d=11 supergravity?
- E(11)-extended spacetime and gauged supergravities
- Half-maximal supersymmetry from exceptional field theory
- Type II origin of dyonic gaugings
- U-dual fluxes and Generalized Geometry
- Systematics of consistent truncations from generalised geometry
- E7(7) formulation of N=2 backgrounds
- U-duality extension of Drinfel'd double
- Poisson-Lie U-duality in Exceptional Field Theory
- Generalised Scherk-Schwarz reductions from gauged supergravity
- General Yang-Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical framework OR From Bianchi identities to twisted Courant algebroids
- Gauging Maximal Supergravities
- Charge multiplets and masses for E(11)
- E Exceptional Drinfel'd Algebras
- Type II DFT solutions from Poisson-Lie T-duality/plurality
- N=1 vacua in Exceptional Generalized Geometry
- Uplifting non-compact gauged supergravities
- G-algebroids: a unified framework for exceptional and generalised geometry, and Poisson-Lie duality
- The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions
- Para-Hermitian Geometries for Poisson-Lie Symmetric -models
- Introductory Lectures on Extended Supergravities and Gaugings
- Ten-dimensional origin of Minkowski vacua in supergravity
- Generalized Parallelizable Spaces from Exceptional Field Theory
- Non-abelian Gerbes and Enhanced Leibniz Algebras
- Gaugings from E7 Extended Geometries
- Enhanced Leibniz Algebras: Structure Theorem and Induced Lie 2-Algebra
- Generalised vielbeins and non-linear realisations
- Consistent Truncations and Dualities
- Exceptional algebroids and type IIB superstrings
- Jacobi-Lie T-plurality
- Uplifts of maximal supergravities and transitions to non-geometric vacua
- An Algebraic Classification of Solution Generating Techniques