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Related papers: E$_{7(7)}$ Exceptional Field Theory in Superspace

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We give the supersymmetric extension of exceptional field theory for E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group ${\rm…

High Energy Physics - Theory · Physics 2015-06-19 Hadi Godazgar , Mahdi Godazgar , Olaf Hohm , Hermann Nicolai , Henning Samtleben

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 describe the linearized supergeometry of eleven dimensional supergravity with four off-shell local supersymmetries. We start with a background Minkowski 11D, N=1 superspace, and an additional ingredient of a global, constant,…

High Energy Physics - Theory · Physics 2022-12-14 Katrin Becker , Daniel Butter , Anindya Sengupta

The hidden on-shell E(7(7)) symmetry of maximal supergravity is usually discussed in a truncation from D=11 to four dimensions. In this article, we reverse the logic and start from a theory with manifest off-shell E(7(7)) symmetry inspired…

High Energy Physics - Theory · Physics 2009-11-13 Christian Hillmann

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing…

High Energy Physics - Theory · Physics 2011-07-21 J. Greitz , P. S. Howe

All maximal supergravities in four space-time dimensions are presented. The ungauged Lagrangians can be encoded in an E_7(7)\Sp(56,R)/GL(28) matrix associated with the freedom of performing electric/magnetic duality transformations. The…

High Energy Physics - Theory · Physics 2009-11-13 Bernard de Wit , Henning Samtleben , Mario Trigiante

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate…

High Energy Physics - Theory · Physics 2009-02-10 Christian Hillmann

We review E$_{6(6)}$ exceptional field theory with a particular emphasis on the embedding of type IIB supergravity, which is obtained by picking the GL$(5)\times {\rm SL}(2)$ invariant solution of the section constraint. We work out the…

High Energy Physics - Theory · Physics 2015-10-01 Arnaud Baguet , Olaf Hohm , Henning Samtleben

The half-maximal supergravity theories in three dimensions, which have local $SO(8)\xz SO(n)$ and rigid SO(8,n) symmetries, are discussed in a superspace setting starting from the superconformal theory. The on-shell theory is obtained by…

High Energy Physics - Theory · Physics 2015-06-04 J. Greitz , P. S. Howe

We show how the gauge and field structure of the tensor hierarchies in Double and $E_{7(7)}$ Exceptional Field Theory fits into $L_\infty$ algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and…

High Energy Physics - Theory · Physics 2019-02-07 Yago Cagnacci , Tomas Codina , Diego Marques

We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an…

High Energy Physics - Theory · Physics 2019-05-22 Daniël Prins

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

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 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 show how to construct seven-dimensional half-maximally supersymmetric consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$ exceptional field theory. Such truncations are defined on generalised…

High Energy Physics - Theory · Physics 2017-06-28 Emanuel Malek

We construct maximal supergravity in five-dimensions by 'oxidizing' the four-dimensional $\mathcal{N}=8$ theory. The relevant symmetries, the unitary symplectic group $USp(8)$ and the exceptional group $E_6$, are both presented in…

High Energy Physics - Theory · Physics 2025-03-03 Sudarshan Ananth , Nipun Bhave

We study the properties of section conditions of the E7(7) exceptional field theory from the perspective of superparticle model in N=8 D=4 superspace enlarged by additional bosonic coordinates related to the central charge of the maximal…

High Energy Physics - Theory · Physics 2016-02-17 Igor Bandos

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben

Recently proposed exceptional field theories (EFTs) making manifest the duality $E_{n(n)}$ symmetry, first observed as nonlinearly realized symmetries of the maximal $d=3,4,...,9$ supergravity ($n=11-d$) and containing 11D and type IIB…

High Energy Physics - Theory · Physics 2017-11-28 Igor Bandos
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