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We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten- and eleven-dimensional supergravity. In all cases the reduction manifold admits a "generalised parallelisation" with a…

High Energy Physics - Theory · Physics 2014-01-16 Kanghoon Lee , Charles Strickland-Constable , Daniel Waldram

It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric…

High Energy Physics - Theory · Physics 2013-06-18 Edvard T. Musaev

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 study the Scherk-Schwarz reduction of D=11 supergravity with background fluxes in the context of a recently developed framework pertaining to D=11 supergravity. We derive the embedding tensor of the associated four-dimensional maximal…

High Energy Physics - Theory · Physics 2014-02-26 Hadi Godazgar , Mahdi Godazgar , Hermann Nicolai

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

We show that the data needed for the method of the embedding tensor employed in gauging supergravity theories are precisely those of a Leibniz algebra (with one of its induced quotient Lie algebras embedded into a rigid symmetry Lie algebra…

High Energy Physics - Theory · Physics 2019-10-02 Alexei Kotov , Thomas Strobl

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric…

High Energy Physics - Theory · Physics 2015-06-05 David S. Berman , Edvard T. Musaev , Daniel C. Thompson

Using the equivalence between Scherk-Schwarz reductions and twisted tori compactifications, we discuss the effective theories obtained by this procedure from M-theory and N =4 type II orientifold constructions with Neveu-Schwarz and…

High Energy Physics - Theory · Physics 2010-04-05 Gianguido Dall'Agata , Sergio Ferrara

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

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

Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete…

High Energy Physics - Theory · Physics 2024-09-23 Falk Hassler , Yuho Sakatani

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

High Energy Physics - Theory · Physics 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

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 this review articel we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we…

High Energy Physics - Theory · Physics 2008-11-26 Martin Weidner

We analyze the class of four-dimensional N = 4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. These theories are formulated with the machinery of embedding tensors and shown to be deducible from…

High Energy Physics - Theory · Physics 2008-11-26 P. Marios Petropoulos

We present a pedagogical discussion of the emergence of gauged supergravities from M-theory. First, a review of maximal supergravity and its global symmetries and supersymmetric solutions is given. Next, different procedures of dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Diederik Roest

We construct generalised diffeomorphisms for E$_9$ exceptional field theory. The transformations, which like in the E$_8$ case contain constrained local transformations, close when acting on fields. This is the first example of a…

High Energy Physics - Theory · Physics 2017-12-07 Guillaume Bossard , Martin Cederwall , Axel Kleinschmidt , Jakob Palmkvist , 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

We give the N=2 gauged supergravity interpretation of a generic D=4, N=2 theory as it comes from generalized Scherk-Schwarz reduction of D=5, N=2 (ungauged) supergravity. We focus on the geometric aspects of the D=4 data such as the general…

High Energy Physics - Theory · Physics 2009-11-10 L. Andrianopoli , S. Ferrara , M. A. Lledo'

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
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