SO(5,5) duality in M-theory and generalized geometry

Abstract

We attempt to reformulate eleven dimensional supergravity in terms of an object that unifies the three-form and the metric and makes the M-theory duality group manifest. This short note deals with the case of where the U-duality group SO(5,5) acts in five spatial dimensions.

7 pages, LaTex, v2: typos corrected and reference added

References in corpus (6)

• Generalised Geometry for M-Theory
• Differential geometry with a projection: Application to double field theory
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Frame-like Geometry of Double Field Theory
• Double field formulation of Yang-Mills theory
• E11, generalised space-time and IIA string theory

Cited by in corpus (116)

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• The gauge structure of generalised diffeomorphisms
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• Duality orbits of non-geometric fluxes
• Duality Invariant Actions and Generalised Geometry
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• On the Riemann Tensor in Double Field Theory
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• The effective action of Double Field Theory
• N=1 Supersymmetric Double Field Theory
• Exceptional field theory: $SL(5)$
• Exceptional field theory: $SO(5,5)$
• Comments on double field theory and diffeomorphisms
• Kerr-Schild Double Field Theory and Classical Double Copy
• Incorporation of fermions into double field theory
• The O_{D,D} Geometry of String Theory
• Ramond-Ramond Cohomology and O(D,D) T-duality
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• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• Global aspects of double geometry
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• Gauge theory of Kaluza-Klein and winding modes
• Boundary Terms in Generalized Geometry and doubled field theory
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• U-geometry : SL(5)
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Generalized gravity from modified DFT
• Duality Symmetric String and M-Theory
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• Strings and Branes are Waves
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• The Geometry, Branes and Applications of Exceptional Field Theory
• A Double Sigma Model for Double Field Theory
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• U-duality extension of Drinfel'd double
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• Generalised geometry, eleven dimensions and E11
• U-duality covariant gravity
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• Generalised diffeomorphisms for E${}_9$
• Double Field Theory for Double D-branes
• Generalised geometry from the ground up
• Extended geometries
• T-duality and non-geometric solutions from double geometry
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• Non-linear Kaluza-Klein theory for dual fields
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
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• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
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• Extended Riemannian Geometry I: Local Double Field Theory
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• E11, generalised space-time and equations of motion in four dimensions
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
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• Timelike U-dualities in Generalised Geometry
• Membrane Duality Revisited
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• Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
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• From Exceptional Field Theory to Heterotic Double Field Theory via K3
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• A note on large gauge transformations in double field theory
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• New gaugings and non-geometry
• Equations of Motion in Double Field Theory: From Particles to Scale Factors
• E11 and exceptional field theory
• Towards Weakly Constrained Double Field Theory
• Discreteness of time in the evolution of the universe
• Finite Transformations in Doubled and Exceptional Space
• U-duality in three and four dimensions
• Gauge Transformation of Double Field Theory for Open String
• A geometric formulation of exceptional field theory
• Fermionic T-duality and U-duality in type II supergravity
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
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