Generalized E(7(7)) coset dynamics and D=11 supergravity

Abstract

The hidden on-shell E(7(7)) symmetry of maximal supergravity is usually discussed in a truncation from D=11 to four dimensions. In this article, we reverse the logic and start from a theory with manifest off-shell E(7(7)) symmetry inspired by West's coset construction. Following de Wit's and Nicolai's idea that a 4+56 dimensional "exceptional geometry" underlies maximal supergravity, we construct the corresponding Lagrangian and the supersymmetry variations for the 56 dimensional subsector. We prove that both the dynamics and the supersymmetry coincide with D=11 supergravity in a truncation to d=7 in the expected way.

42 pages, v2: references added

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Cited by in corpus (86)

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• Background independent action for double field theory
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• The gauge structure of generalised diffeomorphisms
• Double Field Theory of Type II Strings
• Exceptional Field Theory II: E${}_{7(7)}$
• Doubled α'-Geometry
• Duality Invariant Actions and Generalised Geometry
• SO(5,5) duality in M-theory and generalized geometry
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• The local symmetries of M-theory and their formulation in generalised geometry
• On the Riemann Tensor in Double Field Theory
• Exotic Branes in String Theory
• Large Gauge Transformations in Double Field Theory
• Non-Geometric Fluxes in Supergravity and Double Field Theory
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• N=1 Supersymmetric Double Field Theory
• Geometry and fluxes of SL(5) exceptional field theory
• Branes are Waves and Monopoles
• Global aspects of double geometry
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Boundary Terms in Generalized Geometry and doubled field theory
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• E11, generalised space-time and IIA string theory
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Generalized gravity from modified DFT
• Duality Symmetric String and M-Theory
• Strings and Branes are Waves
• E7(7) formulation of N=2 backgrounds
• The Geometry, Branes and Applications of Exceptional Field Theory
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Towards an invariant geometry of double field theory
• Generalised geometry, eleven dimensions and E11
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• U-duality covariant gravity
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Generalised geometry from the ground up
• Extended geometries
• IIB Supergravity and the E6(6) covariant vector-tensor hierarchy
• E7(7) invariant Lagrangian of d=4 N=8 supergravity
• T-duality and non-geometric solutions from double geometry
• Non-linear Kaluza-Klein theory for dual fields
• Non-Riemannian geometry of M-theory
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
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• On Asymptotic Flatness and Lorentz Charges
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• Double supergeometry
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• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Einstein-Cartan Calculus for Exceptional Geometry
• Asymptotic Flatness, Taub-NUT, and Variational Principle
• Cosmological Implications from O(D,D)
• A note on large gauge transformations in double field theory
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Higher Gauge Structures in Double and Exceptional Field Theory
• Gaugings from E7 Extended Geometries
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Generalised vielbeins and non-linear realisations
• E11 and exceptional field theory
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• All maximal gauged supergravities with uplift
• Discreteness of time in the evolution of the universe
• Finite Transformations in Doubled and Exceptional Space
• A geometric formulation of exceptional field theory
• Gauge Transformation of Double Field Theory for Open String
• U-duality in three and four dimensions
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• Consistent 4-form fluxes for maximal supergravity
• Higher fermions in supergravity
• Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• C-spaces, generalized geometry and double field theory
• Duality rules for more mixed-symmetry potentials
• Algebraic structures in exceptional geometry