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Exceptional Field Theory employs an extended spacetime to make supergravity fully covariant under the U-duality groups of M-theory. The 12-dimensional EFT associated to the group $SL(2)\times\mathbb{R}^+$ together with its action is…

High Energy Physics - Theory · Physics 2017-10-12 Felix J. Rudolph

We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra…

High Energy Physics - Theory · Physics 2017-04-05 Pascal du Bosque , Falk Hassler , Dieter Lust , Emanuel Malek

Exceptional Field Theory employs an extended spacetime to make supergravity fully covariant under the U-duality groups of M-theory. This allows for the wave and monopole solutions to be combined into a single solution which obeys a twisted…

High Energy Physics - Theory · Physics 2016-04-08 Felix J. Rudolph

We construct Exceptional Field Theory for the group $SO(5,5)$ based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal $D=6$ supergravity. We present both a true action and a duality-invariant…

High Energy Physics - Theory · Physics 2015-06-24 Aidar Abzalov , Ilya Bakhmatov , Edvard T. Musaev

In this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of $D=7$ maximal supergravity. In the formalism presented the hidden global duality group is…

High Energy Physics - Theory · Physics 2016-03-23 Edvard T. Musaev

We present the details of the recently constructed $E_{6(6)}$ covariant extension of 11-dimensional supergravity. This theory requires a 5+27 dimensional spacetime in which the `internal' coordinates transform in the $\bar{\bf 27}$ of…

High Energy Physics - Theory · Physics 2015-06-04 Olaf Hohm , Henning Samtleben

We review exceptional field theories as the duality-covariant reformulation of maximal supergravity theories in ten and eleven dimensions, that make the underlying exceptional symmetries explicit. Beyond their structural role in unifying…

High Energy Physics - Theory · Physics 2025-03-24 Henning Samtleben

We construct exceptional field theory for the duality group SL(3)$\times$SL(2). The theory is defined on a space with 8 `external' coordinates and 6 `internal' coordinates in the $(3,2)$ fundamental representation, leading to a…

High Energy Physics - Theory · Physics 2015-06-23 Olaf Hohm , Yi-Nan Wang

We construct the scalar potential for the exceptional field theory based on the affine symmetry group E$_9$. The fields appearing in this potential live formally on an infinite-dimensional extended spacetime and transform under E$_9$…

High Energy Physics - Theory · Physics 2019-03-27 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt , Henning Samtleben

Exceptional field theories are the manifestly duality covariant formulations of the target space theories of string/M-theory in the low-energy limit (supergravity) or for certain truncations. These theories feature a rich system of…

High Energy Physics - Theory · Physics 2019-06-19 Olaf Hohm , Henning Samtleben

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

High Energy Physics - Theory · Physics 2016-10-12 Felix J. Rudolph

We introduce exceptional field theory for the group E_{7(7)}, based on a (4+56)-dimensional spacetime subject to a covariant section condition. The `internal' generalized diffeomorphisms of the coordinates in the fundamental representation…

High Energy Physics - Theory · Physics 2014-05-01 Olaf Hohm , Henning Samtleben

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

Eleven-dimensional supergravity reveals large exceptional symmetries upon reduction, in accordance with the U-duality groups of M-theory, but their higher-dimensional geometric origin has remained a mystery. In this letter, we show that…

High Energy Physics - Theory · Physics 2013-12-16 Olaf Hohm , Henning Samtleben

We consider a non trivial solution to the section condition in the context of $\mathbb{R}^{+}\times E_{3(3)}$ exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal…

High Energy Physics - Theory · Physics 2019-09-04 Lilian Chabrol

We present the supersymmetric extension of the recently constructed E$_{8(8)}$ exceptional field theory -- the manifestly U-duality covariant formulation of the untruncated ten- and eleven-dimensional supergravities. This theory is…

High Energy Physics - Theory · Physics 2016-11-03 Arnaud Baguet , Henning Samtleben

We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to…

High Energy Physics - Theory · Physics 2021-09-17 David S. Berman , Kwangeon Kim , Kanghoon Lee

We construct the supersymmetric completion of E$_{6(6)}$-covariant exceptional field theory. The theory is based on a $(5+27)$-dimensional generalized space-time subject to a covariant section constraint. The fermions are tensors under the…

High Energy Physics - Theory · Physics 2015-06-23 Edvard Musaev , Henning Samtleben

We present F-theories that reduce to 10D Type II Green-Schwarz superstrings. They vary in manifest U-duality according to division between spacetime and "internal" coordinates. They are defined by selfdual current superalgebras in higher…

High Energy Physics - Theory · Physics 2016-10-06 William D Linch , Warren Siegel

We construct an infinite system of non-linear duality equations, including fermions, that are invariant under global E11 and gauge invariant under generalised diffeomorphisms upon the imposition of a suitable section constraint. We use…

High Energy Physics - Theory · Physics 2021-03-26 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin
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