E(11) and M theory
TLDR
In this article, it was shown that 11-dimensional supergravity can be described by a nonlinear realization based on the group E11, where the gravitational degrees of freedom are described by two fields which are related by duality.Abstract:
We argue that 11-dimensional supergravity can be described by a nonlinear realization based on the group E11. This requires a formulation of 11-dimensional supergravity in which the gravitational degrees of freedom are described by two fields which are related by duality. We show the existence of such a description of gravity.read more
Citations
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Double field theory: a pedagogical review
TL;DR: Double field theory (DFT) as discussed by the authors is a generalization of string theory that incorporates T-duality as a symmetry of a field theory defined on a double configuration space.
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E10 and a Small Tension Expansion of M Theory
TL;DR: A formal "small tension" expansion of D=11 supergravity near a spacelike singularity is shown to be equivalent, at least up to 30th order in height, to a null geodesic motion in the infinite-dimensional coset space E(10)/K(E 10), where K(E10) is the maximal compact subgroup of the hyperbolic Kac-Moody group E10(R).
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Supergravity as generalised geometry I: type II theories
TL;DR: In this paper, the authors reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an O(9, 1) × O(1, 9) ⊂ O(10, 10) × $ {\mathbb{R}^{+} } $ structure on the generalised tangent space.
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Generalized geometry and M theory
TL;DR: In this article, the authors reformulate the Hamiltonian form of bosonic eleven-dimensional supergravity in terms of an object that unifies the three-form and the metric.
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The gauge structure of generalised diffeomorphisms
TL;DR: In this article, it was shown that the Jacobiator of generalised diffeomorphisms gives such a reducibility transformation, i.e., the tower of ghosts for ghosts is infinite.
References
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Book
Infinite Dimensional Lie Algebras
TL;DR: The invariant bilinear form and the generalized casimir operator are integral representations of Kac-Moody algebras and the weyl group as mentioned in this paper, as well as a classification of generalized cartan matrices.
Journal ArticleDOI
Unity of superstring dualities
Chris Hull,Paul K. Townsend +1 more
TL;DR: In this article, it was shown that the effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 duality symmetry.
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Supergravity in theory in 11 dimensions
TL;DR: In this article, the action and transformation laws of supergravity in 11 dimensions were presented, which is expected to be closely related to the O(8) theory in 4 dimensions after dimensional reduction.
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The SO(8) supergravity
Eugène Cremmer,B. Julia +1 more
TL;DR: In this paper, the SO(8) supergravity theory was derived by dimensional reduction of the super gravity theory in 11 dimensions to 4 dimensions, where the equations of motion are invariant under the global non-compact group E7(+7).
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Supersymmetric Yang-Mills Theories
TL;DR: Yang-Mills theories with simple supersymmetry are constructed in 2, 4, 6, and 10 dimensions, and it is argued that these are essentially the only cases possible as discussed by the authors.