Duality invariant actions and generalised geometry

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

231 citations recorded by the source corpus.

A bstractWe construct the non-linear realisation of the semi-direct product of E11 and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven. This leads to a non-linear realisation of the duality groups and introduces fields that depend on a generalised space which possess a generalised vielbein. We focus on the part of the generalised space on which the duality groups alone act and construct an invariant action.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/52d2b8816a4fe87d6468dfcf851c907902943895

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In Applied Mathematics

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Duality Symmetric String and M-Theory (2013, background): “Full details of the commutators in this basis can be found in [19].”
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).”
The gauge structure of generalised diffeomorphisms (2012, unknown): “[40–45].”
Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, methodology): “The action for the M–theory equivalent of double field theory has been written down in a series of works (depending on the specific U–duality group) [25, 26, 27, 28, 29].”
Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, methodology): “Explicit expressions for the generalised metric in terms of the supergravity fields in the coordinate frame have been worked out, for example, in [21].”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “See [58] for the general structure of these parametrizations, and [41] for some explicit matrices.”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, background): “[57] It arose via a non-linear realisation of E7(7), following an embedding in E11, in[58] and in generalised geometry in [23,24].”
Exceptional field theory. II. E$_{7(7)}$ (2013, result): “For comparison of the full result with the truncations that have been given in the literature [26,30,31],(3) we finally note that after the truncation that sets gμν “ e ημν , the potential term reduces to”
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].”
On the Riemann tensor in double field theory (2011, background): “(See [5–42] for previous work and further developments.”
Non‐geometric fluxes in supergravity and double field theory (2012, background): “For earlier and further interesting work see [55–64].”
Double field theory: a pedagogical review (2013, background): “The idea of extending the spacetime and/or the tangent space so as to accommodate such symmetries was introduced in [38, 39] and more recently considered in [40, 44, 46].”