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Related papers: Generalised Scherk-Schwarz reductions from gauged …

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We formulate gauge theories based on Leibniz(-Loday) algebras and uncover their underlying mathematical structure. Various special cases have been developed in the context of gauged supergravity and exceptional field theory. These are based…

High Energy Physics - Theory · Physics 2020-06-23 Roberto Bonezzi , Olaf Hohm

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

We develop in detail the general framework of consistent Kaluza-Klein truncations from D=11 and type II supergravities to gauged maximal supergravities in two dimensions. In particular, we unveil the complete bosonic dynamics of all gauged…

High Energy Physics - Theory · Physics 2024-01-17 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt

We present massive N=2 supergravity with SO(2)-gauging in nine-dimensions by direct construction. A full lagrangian and transformation rules are fixed, respectively up to quartic and quadratic fermion terms. Corresponding to the generalized…

High Energy Physics - Theory · Physics 2010-04-05 Hitoshi Nishino , Subhash Rajpoot

We study the class of four-dimensional N=4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. We formulate these theories using the machinery of embedding tensors, characterize the full gauge algebras and…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Pierre Derendinger , P. Marios Petropoulos , Nikolaos Prezas

We describe some recent investigation about the structure of generic D=4,5 theories obtained by generalized dimensional reduction of D=5,6 theories with eight supercharges. We relate the Scherk-Schwarz reduction to a special class of N=2…

High Energy Physics - Theory · Physics 2017-08-23 L. Andrianopoli , S. Ferrara , M. A. Lledo'

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

Generalised Scherk-Schwarz reductions in which compactification on a circle is accompanied by a twist with an element of a global symmetry G typically lead to gauged supergravities and are classified by the monodromy matrices, up to…

High Energy Physics - Theory · Physics 2010-11-19 C. M. Hull

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

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

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

Bi-spinor and G-structure methods are used to classify the possible consistent truncations of type II supergravity to $d=6$ Einstein-Maxwell (gauged) supergravity, and its consistent sub-sectors. In the absence of R-symmetry gauging and a…

High Energy Physics - Theory · Physics 2025-11-05 Niall T. Macpherson , Ricardo Stuardo

We propose a universal geometric formulation of gauged supergravity in terms of a twisted doubled torus. We focus on string theory (M-theory) reductions with generalized Scherk-Schwarz twists residing in the O(n,n) (E_{7(7)}) duality group.…

High Energy Physics - Theory · Physics 2008-11-26 Gianguido Dall'Agata , Nikolaos Prezas , Henning Samtleben , Mario Trigiante

We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of tensor distributions in the sense of L. Schwartz. We thereby…

Functional Analysis · Mathematics 2012-05-31 Michael Grosser , Michael Kunzinger , Roland Steinbauer , James Vickers

We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Pablo A. Cano , Vincent S. Min , Manus R. Visser

We review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite-dimensional) Lie algebra $\frak{g}$ and a choice of representation…

High Energy Physics - Theory · Physics 2021-07-28 Olaf Hohm , Henning Samtleben

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the…

High Energy Physics - Theory · Physics 2009-11-11 C. M. Hull , R. A. Reid-Edwards

We study the gauging of maximal $d=8$ supergravity using the embedding tensor formalism. We focus on SO$(3)$ gaugings, study all the possible choices of gauge fields and construct explicitly the bosonic actions (including the complicated…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

We re-examine the quantization of structure constants, or equivalently the choice of lattice in the so-called flat group reductions, introduced originally by Scherk and Schwarz. Depending on this choice, the vacuum either breaks…

High Energy Physics - Theory · Physics 2014-03-18 Mariana Graña , Ruben Minasian , Hagen Triendl , Thomas Van Riet

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