The Symmetry of M-Theories
arXiv:hep-th/0304206 · doi:10.1088/1126-6708/2003/09/020
Abstract
We consider the Cartan subalgebra of any very extended algebra G+++ where G is a simple Lie algebra and let the parameters be space-time fields. These are identified with diagonal metrics and dilatons. Using the properties of the algebra, we find that for all very extensions G+++ of simple Lie algebras there are theories of gravity and matter, which admit classical solutions carrying representations of the Weyl group of G+++. We also identify the T and S-dualities of superstrings and of the bosonic string with Weyl reflections and outer automorphisms of well-chosen very extended algebras and we exhibit specific features of the very extensions. We take these results as indication that very extended algebras underlie symmetries of any consistent theory of gravity and matter, and might encode basic information for the construction of such theory.
Latex 41 pages, 2 figures. Introduction modified (and references renumbered) for better focusing. Minor changes in the bulk. Two references added
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Cited by in corpus (77)
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- The gauge structure of generalised diffeomorphisms
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- Very-extended Kac-Moody algebras and their interpretation at low levels
- Duality in linearized gravity
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- Representations of G+++ and the role of space-time
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- Branes are Waves and Monopoles
- Global aspects of double geometry
- E10 and SO(9,9) invariant supergravity
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- Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- E(11)-extended spacetime and gauged supergravities
- Dual fields and E_{11}
- Strings and Branes are Waves
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- Supersymmetric Domain Walls
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- Aspects of higher curvature terms and U-duality
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- Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
- Exotic branes in Exceptional Field Theory: the SL(5) duality group
- G+++ and Brane Solutions
- Cosmological billiards and oxidation
- A Note on E11 and Three-dimensional Gauged Supergravity
- Intersection rules, dynamics and symmetries
- E_{11} and Higher Spin Theories
- Duality Symmetries and G^{+++} Theories
- E11 as E10 representation at low levels
- Generalised vielbeins and non-linear realisations
- Dualities and signatures of G++ invariant theories
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- The many vacua of gauged extended supergravities
- M-branes on U-folds
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- Kac-Moody Algebras in M-theory
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- Higher spin fields from indefinite Kac-Moody algebras
- Standard and Non-standard Extensions of Lie algebras
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- Some simple predictions from E_{11} symmetry
- Infinite-Dimensional Gauge Structure of d=2 N=16 Supergravity
- M-Theory Solutions in Multiple Signatures from E_11
- A deformation of the Curtright action
- Gravitational Coset Models
- The emergence of fermions and the E11 content
- Connections between Kac-Moody algebras and M-theory
- N-Extended Lorentzian Kac-Moody algebras
- Kac-Moody and Borcherds Symmetries of Six-Dimensional Chiral Supergravity
- Duality Covariant Solutions in Extended Field Theories
- Massive Type IIA Supergravity and E10
- Algebraic structures in M-theory
- Gravitational Billiards, Dualities and Hidden Symmetries
- From brane dynamics to a Kac-Moody invariant formulation of M-theories
- Diagrammar and metamorphosis of coset symmetries in dimensionally reduced type IIB supergravity
- Toda field theories and Calogero models associated to infinite Weyl groups
- Gravitational theories coupled to matter as invariant theories under Kac-Moody algebras