Generalized geometry and M theory

By David S. Berman, M. Perry. 2010

371 citations recorded by the source corpus.

We reformulate the Hamiltonian form of bosonic eleven dimensional supergravity in terms of an object that unifies the three-form and the metric. For the case of four spatial dimensions, the duality group is manifest and the metric and C-field are on an equal footing even though no dimensional reduction is required for our results to hold. One may also describe our results using the generalized geometry that emerges from membrane duality. The relationship between the twisted Courant algebra and the gauge symmetries of eleven dimensional supergravity are described in detail.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/191b3e3cc45f30f0db65b4421cd0be4e96ba0b08

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Citations in the corpus

Frame-like geometry of double field theory (2010, background): “(For recent papers related to this theory see [10, 11, 12, 13, 14].”
Exotic Branes in String Theory (2012, background): “Furthermore, the non-geometric nature of the monodromy is of much interest in view of the recent developments in the double field theory [17–19] (for reviews, see [20,21]) and generalizations thereof [22–26], which is a framework to incorporate stringy non-geometric nature of spacetime.”
The effective action of double field theory (2011, background): “The concepts of Generalized Complex Geometry [9]–[11], non-geometry [12, 13] and double geometry [14]–[20] were proposed as suitable frameworks to deal with this situation (see also [21, 22] for extensions to M-theory).”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “[22] (The case of d = 4 was first considered in [19,29,38,39].”
Exploring double field theory (2013, methodology): “More general U-duality covariant frameworks have been constructed in [20–30] and [31– 36], and the relation between some of these theories and DFT was explained in [37].”
Double field theory of type II strings (2011, background): “Results on reformulations of 11-dimensional supergravity may be relevant, see [45] and [28, 29, 37].”
The gauge structure of generalised diffeomorphisms (2012, background): “From investigations of the dynamics of supersymmetric membranes, it has been clear from different arguments that U-duality can be made manifest [37–39].”
Differential geometry with a projection: application to double field theory (2010, methodology): “The generalization of our formalism to M-theory is also of interest [ 34 ].”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “J H E P 0 1 ( 2 0 1 5 ) 1 3 1 some detail [34, 40, 42, 60].”
The spacetime of double field theory: Review, remarks, and outlook (2013, background): “The ideas of DFT have also been generalized to various U-duality groups in order to describe truncations of D = 11 supergravity [62–70].”
The local symmetries of M-theory and their formulation in generalised geometry (2011, methodology): “The generalised metric for the SL(5) generalised geometry given in [21] is”
Extended geometry and gauged maximal supergravity (2013, methodology): “The exceptional tangent space is the starting block of Exceptional Generalized Geometry [16, 17] (EGG), while we will call the extension of DFT to the U-duality groups, first discussed in [18–21], “Extended Field Theory” (EFT).”
A ten-dimensional action for non-geometric fluxes (2011, background): “Such fluxes are not contained in GCG, which focuses on the NSNS sector, but they could be described in a framework such as Exceptional Generalized Geometry (EGG) [79, 80, 81, 82, 83], or following [84, 85].”