E10 and SO(9,9) invariant supergravity
arXiv:hep-th/0407101 · doi:10.1088/1126-6708/2004/07/041
Abstract
We show that (massive) D=10 type IIA supergravity possesses a hidden rigid SO(9,9) symmetry and a hidden local SO(9) x SO(9) symmetry upon dimensional reduction to one (time-like) dimension. We explicitly construct the associated locally supersymmetric Lagrangian in one dimension, and show that its bosonic sector, including the mass term, can be equivalently described by a truncation of an E10/K(E10) non-linear sigma-model to the level \ell<=2 sector in a decomposition of E10 under its so(9,9) subalgebra. This decomposition is presented up to level 10, and the even and odd level sectors are identified tentatively with the Neveu--Schwarz and Ramond sectors, respectively. Further truncation to the level \ell=0 sector yields a model related to the reduction of D=10 type I supergravity. The hyperbolic Kac--Moody algebra DE10, associated to the latter, is shown to be a proper subalgebra of E10, in accord with the embedding of type I into type IIA supergravity. The corresponding decomposition of DE10 under so(9,9) is presented up to level 5.
1+39 pages LaTeX2e, 2 figures, 2 tables, extended tables obtainable by downloading source
References in corpus (1)
Cited by in corpus (55)
- Generalized metric formulation of double field theory
- M-theory, exceptional generalised geometry and superpotentials
- The gauge structure of generalised diffeomorphisms
- Double Field Theory of Type II Strings
- Spacelike Singularities and Hidden Symmetries of Gravity
- Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
- Incorporation of fermions into double field theory
- Massive Type II in Double Field Theory
- Duality Invariance: From M-theory to Double Field Theory
- Higher order M theory corrections and the Kac-Moody algebra E10
- Finite baryon and isospin chemical potential in AdS/CFT with flavor
- Kac-Moody Spectrum of (Half-)Maximal Supergravities
- Duality Symmetric String and M-Theory
- E7(7) formulation of N=2 backgrounds
- K(E10), Supergravity and Fermions
- IIB supergravity and E10
- Beyond E11
- Generalised geometry from the ground up
- Hidden Symmetries and Dirac Fermions
- Gradient Representations and Affine Structures in AE(n)
- A master exceptional field theory
- Curvature corrections and Kac-Moody compatibility conditions
- Heterotic wrapping rules
- Constraints and the E10 Coset Model
- IIA and IIB spinors from K(E10)
- Maximal supergravity in three dimensions: supergeometry and differential forms
- E10 Cosmology
- On the E10/Massive Type IIA Supergravity Correspondence
- K(E9) from K(E10)
- Super-Ehlers in Any Dimension
- Geometric Configurations, Regular Subalgebras of E10 and M-Theory Cosmology
- Hyperbolic Weyl groups and the four normed division algebras
- A Note on E11 and Three-dimensional Gauged Supergravity
- E10 and Gauged Maximal Supergravity
- On higher spin realizations of K(E10)
- U-gravity :
- Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H
- E10 Orbifolds
- The structure of E10 at higher A9 levels - a first algorithmic approach
- Poincare, Relativity, Billiards and Symmetry
- Pure type I supergravity and DE(10)
- Non-propagating degrees of freedom in supergravity and very extended G_2
- Some Algebraic Aspects of Half-BPS Bound States in M-Theory
- Sugawara-type constraints in hyperbolic coset models
- Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
- Embeddings of hyperbolic Kac-Moody algebras into }
- The E10 Wheeler-DeWitt operator at low levels
- Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
- The different faces of branes in Double Field Theory
- Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds
- Higher spin fields from indefinite Kac-Moody algebras
- Hyperbolic Kac-Moody superalgebras
- Exceptional Lie algebras and M-theory
- Remarks on E11 approach
- Aspects of electric-magnetic dualities in maximal supergravity