The local symmetries of M-theory and their formulation in generalised geometry

By David S. Berman, H. Godazgar, M. Godazgar, M. Perry. 2011

227 citations recorded by the source corpus.

A bstractIn the doubled field theory approach to string theory the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space. The local symmetries are then given by a generalised Lie derivative and its associated algebra. This paper constructs an analogous structure for the extended geometry of M-theory. A crucial by-product of this construction is the derivation of the physical section condition for M-theory formulated in an extended space.

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

View Paper: https://www.semanticscholar.org/paper/d99892c6abdcb71cf10436019fb15325f66eed90

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. David S. Berman
2. D. Marqués
3. O. Hohm
4. D. Thompson
5. C. Nuñez
6. G. Aldazabal
7. D. Waldram
8. C. Strickland-Constable

In Nuclear and High Energy Physics

1. D. Marqués
2. O. Hohm
3. David S. Berman
4. C. Nuñez
5. D. Thompson
6. G. Aldazabal
7. D. Andriot
8. David Geissbühler

In Statistical and Nonlinear Physics

1. D. Marqués
2. O. Hohm
3. David S. Berman
4. D. Thompson
5. C. Nuñez
6. G. Aldazabal
7. B. Zwiebach
8. David Geissbühler

Citations in the corpus

• The gauge structure of generalised diffeomorphisms (2012, unknown): “[40–45].”
• Non‐geometric fluxes in supergravity and double field theory (2012, background): “For earlier and further interesting work see [55–64].”
• Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “[22] (The case of d = 4 was first considered in [19,29,38,39].”
• 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).”
• Duality Symmetric String and M-Theory (2013, result): “Equally we can consider the reduction of the generalised derivative and show in a similar way the SL(5) derivative reduces exactly to that of the SO(3, 3) DFT [239].”
• Duality invariant actions and generalised geometry (2011, background): “The ultimate interpretation of these extra dimensions is presently a little unclear but is discussed in [39], where the local symmetries of M-theory is explored in the context of generalised geometry.”
• Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, background): “This form of the d = 4 Dorfman derivative was given, without the R+ action, in [38].”
• 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].”
• 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: a pedagogical review (2013, methodology): “The generalized diffeomorphisms [47, 44] formally preserve the structure of those analyzed before for DFT (we are using the notation of [45])”
• Exotic Branes in String Theory (2012, background): “Double field theory (DFT) [20,21] and its U -duality generalizations [22–26] are frameworks Type IIB superstring compactified on T 4 can be truncated to N = 4b supergravity with m = 5, and can be studied in this framework as well.”