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We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce…

High Energy Physics - Theory · Physics 2015-06-23 Olaf Hohm , Henning Samtleben

We present a generalised geometry framework for systematically constructing consistent truncations of ten- and eleven-dimensional supergravity preserving varying fractions of supersymmetry. Truncations arise when there is a reduced…

High Energy Physics - Theory · Physics 2020-01-08 Davide Cassani , Gregoire Josse , Michela Petrini , Daniel Waldram

We study consistent truncations in the framework of Exceptional Generalised Geometry. We classify the 4-dimensional gauged supergravities that can be obtained as a consistent truncation of 10/11-dimensional supergravity. Any truncation is…

High Energy Physics - Theory · Physics 2025-12-03 Gregoire Josse , Michela Petrini , Martin Pico

A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We…

High Energy Physics - Theory · Physics 2021-07-05 Gianluca Inverso

Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group…

High Energy Physics - Theory · Physics 2024-12-19 Bastien Duboeuf , Michele Galli , Emanuel Malek , Henning Samtleben

We consider generalized Scherk-Schwarz reductions of E$_9$ exceptional field theory to D=2 space-time dimensions and in particular construct the resulting scalar potential of all gauged supergravities that can be obtained in this way. This…

High Energy Physics - Theory · Physics 2022-12-12 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt

Generalized parallelizable spaces allow a unified treatment of consistent maximally supersymmetric truncations of ten- and eleven-dimensional supergravity in generalized geometry. Known examples are spheres, twisted tori and hyperboloides.…

High Energy Physics - Theory · Physics 2018-03-14 Pascal du Bosque , Falk Hassler , Dieter Lust

In this paper, we present a unified perspective on sphere consistent truncations based on the classical geometric properties of sphere bundles. The backbone of our approach is the global angular form for the sphere. A universal formula for…

High Energy Physics - Theory · Physics 2023-06-07 Federico Bonetti , Ruben Minasian , Valentí Vall Camell , Peter Weck

Given a manifold $\mathbb{M}$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on $\mathbb{M}$ invariant under some subgroup of the…

High Energy Physics - Theory · Physics 2024-09-13 Chris D. A. Blair , Martin Pico , Oscar Varela

The aim of this note is to present some new explicit examples of $O(d,d)$-generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits $\mathcal{O}$ of some semi-simple Lie group $G$. Using this construction, an…

High Energy Physics - Theory · Physics 2018-10-11 Louise Anderson

We show how to construct consistent truncations of 10-/11-dimensional supergravity to 3-dimensional gauged supergravity, preserving various amounts of supersymmetry. We show, that as in higher dimensions, consistent truncations can be…

High Energy Physics - Theory · Physics 2022-09-21 Michele Galli , Emanuel Malek

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 present a systematic framework for constructing consistent truncations of supergravity based on exceptional generalized cosets of the form $\GS \backslash G/H$. This approach generalizes the well-established generalized Scherk-Schwarz…

High Energy Physics - Theory · Physics 2025-10-15 Falk Hassler , Yuho Sakatani

In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give…

High Energy Physics - Theory · Physics 2015-11-05 Hagen Triendl

Several recent papers have made considerable progress in proving the existence of remarkable consistent Kaluza-Klein sphere reductions of D=10 and D=11 supergravities, to give gauged supergravities in lower dimensions. A proof of the…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

In this note we show how the consistent truncations on half-supersymmetric branes of Leung and Stelle and Lin, Skrzypek and Stelle fit into the general exceptional generalised geometry analysis of Cassani \emph{et al.}. Each solution…

High Energy Physics - Theory · Physics 2026-03-26 Jieming Lin , Kellogg S. Stelle , Daniel Waldram

Recent progress in generalised geometry and extended field theories suggests a deep connection between consistent truncations and dualities, which is not immediately obvious. A prime example is generalised Scherk-Schwarz reductions in…

High Energy Physics - Theory · Physics 2024-09-23 Daniel Butter , Falk Hassler , Christopher N. Pope , Haoyu Zhang

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

In a recent paper, the complete (non-linear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5 and 7 was presented, in terms of sphere reductions from D=11 or…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope , A. Sadrzadeh

Previous constructions of supersymmetry for double field theory have relied on the so called strong constraint. In this paper, the strong constraint is relaxed and the theory is shown to possess supersymmetry once the generalised…

High Energy Physics - Theory · Physics 2015-06-15 David S. Berman , Kanghoon Lee
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