E11, generalised space-time and IIA string theory

Abstract

As advocated in hep-th/0307098 we construct the non-linear realisation of the semi-direct product of E11 and its first fundamental representation at lowest level from the IIA viewpoint. We find a theory that is SO(10,10)x GL(1) invariant and contains the fields of gravity, a two form and a dilaton but which depend on coordinates which belong to the vector representation of SO(10,10). The resulting Lagrangian agrees that of recent work on the so called doubled field theory. However, the construction given in this paper is straightforward and systematic. It also reveals the relevant underlying symmetries and opens the way to include the Ramond-Ramond, and higher level, fields together with additional coordinates of the generalised space-time.

15 pages

References in corpus (5)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized complex geometry
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Generalised space-time and duality

Cited by in corpus (46)

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• Gauged Double Field Theory
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• SO(5,5) duality in M-theory and generalized geometry
• The local symmetries of M-theory and their formulation in generalised geometry
• Double Field Theory Formulation of Heterotic Strings
• On the Riemann Tensor in Double Field Theory
• Large Gauge Transformations in Double Field Theory
• Gauged Supergravities
• Covariant action for a string in doubled yet gauged spacetime
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• Non-Geometric Fluxes in Supergravity and Double Field Theory
• N=1 Supersymmetric Double Field Theory
• M-theory and Type IIB from a Duality Manifest Action
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• U-geometry : SL(5)
• Duality Symmetric String and M-Theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Generalised geometry, eleven dimensions and E11
• E11, generalised space-time and IIA string theory; the R-R sector
• E11, generalised space-time and equations of motion in four dimensions
• E11 must be a symmetry of strings and branes
• A brief review of E theory
• Timelike U-dualities in Generalised Geometry
• Generalised Space-time and Gauge Transformations
• Generalised BPS conditions
• Canonical formulation and conserved charges of double field theory
• A note on large gauge transformations in double field theory
• U-gravity : $\mathbf{SL}(N)$
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Generalised vielbeins and non-linear realisations
• E11 and exceptional field theory
• U-folds as K3 fibrations
• Generalized Dualities and Supergroups
• U-duality in three and four dimensions
• E11, Brane Dynamics and Duality Symmetries
• Type II Double Field Theory in Superspace
• Gauged Supergravities and the Physics of Extra Dimensions
• Notes on Ramond-Ramond spinors and bispinors in double field theory
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• The string little algebra