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The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We re-examine previously found cosmological solutions to eleven-dimensional supergravity in the light of the E_{10}-approach to M-theory. We focus on the solutions with non zero electric field determined by geometric configurations (n_m,…

High Energy Physics - Theory · Physics 2009-11-11 Marc Henneaux , Mauricio Leston , Daniel Persson , Philippe Spindel

The U(1) gauged version of the Strominger-Vafa five dimensional N=2 supergravity with one vector multiplet is obtained via dimensional reduction from the N=1 ten dimensional supergavity. Using such explicit relation between the gauged…

High Energy Physics - Theory · Physics 2009-10-31 A. H. Chamseddine , W. A. Sabra

We use the embedding tensor method to construct the most general maximal gauged/massive supergravity in d=9 dimensions and to determine its extended field content. Only the 8 independent deformation parameters (embedding tensor components,…

High Energy Physics - Theory · Physics 2015-05-28 JJ Fernandez-Melgarejo , T. Ortin , E. Torrente-Lujan

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

Within the framework of the flux formulation of Double Field Theory (DFT) we employ a generalised Scherk-Schwarz ansatz and discuss the classification of the twists that in the presence of the strong constraint give rise to constant…

High Energy Physics - Theory · Physics 2023-01-11 Riccardo Borsato , Sibylle Driezen

We study the extent to which D=11 supergravity can be deformed and show in two very different ways that, unlike lower D versions, it forbids an extension with cosmological constant. Some speculations about other invariants are made, in…

High Energy Physics - Theory · Physics 2009-11-19 S. Deser

Summarizing the results of arXiv:0707.1038, we discuss the four-dimensional effective approach to type II N=1 supersymmetric flux compactifications with general SU(3)x SU(3)-structure. In particular, we study the effect of a non-trivial…

High Energy Physics - Theory · Physics 2008-11-26 P. Koerber , L. Martucci

Faddeev formulation of general relativity (GR) is considered where the metric is composed of ten vector fields or a ten-dimensional tetrad. Upon partial use of the field equations, this theory results in the usual GR. Earlier we have…

General Relativity and Quantum Cosmology · Physics 2015-09-28 V. M. Khatsymovsky

As the full off-shell theories of supergravity in the important dimensions of eleven and ten dimensions are currently unknown, we introduce a superfield formalism as a foundation and experimental laboratory to explore the possibility that…

High Energy Physics - Theory · Physics 2019-05-24 S. James Gates, , Yangrui Hu , Hanzhi Jiang , S. -N. Hazel Mak

We consider the modified (or twisted) Yang-Baxter equations for the $SL_{q}(N)$ groups and $SL_{q}(N|M)$ supergroups. The general solutions for these equations are presented in the case of the linear quantum (super)groups. The introduction…

q-alg · Mathematics 2008-11-26 A. P. Isaev

We construct a consistent reduction ansatz of eleven-dimensional supergravity to $N=2$ $SO(4)$ seven-dimensional gauged supergravity with topological mass term for the three-form field. The ansatz is obtained from a truncation of the $S^4$…

High Energy Physics - Theory · Physics 2018-04-17 Parinya Karndumri

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 find a new solution of Type IIB supergravity which represents a collection of D5 branes wrapped on the topologically non-trivial S^3 of the deformed conifold geometry T^*S^3. The Type IIB solution is obtained by lifting a new solution of…

High Energy Physics - Theory · Physics 2009-11-07 Jaume Gomis , Jorge G. Russo

We analyze the equations for the three-form field - a system of semi-linear gauge-invariant wave equations which arises in the theory of eleven dimensional supergravity. We prove that the Cauchy problem is well-posed globally in time for…

Analysis of PDEs · Mathematics 2011-06-28 Boris Ettinger

We obtain inequivalent classical r-matrices of the $osp(1|2)$ Lie superalgebra as real solutions of the graded (modified) classical Yang-Baxter equation, in such a way that the corresponding automorphism transformation is employed. Then,…

High Energy Physics - Theory · Physics 2025-12-10 Ali Eghbali , Yaghoub Samadi , Adel Rezaei-Aghdam

In this paper we propose ten-dimensional realizations of the non-geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T-duality transformation. Double…

High Energy Physics - Theory · Physics 2015-06-04 David Andriot , Olaf Hohm , Magdalena Larfors , Dieter Lust , Peter Patalong

The truncation formulae of $D=11$ supergravity on $S^7$ to $D=4$ ${\cal N} =8$ SO(8)-gauged supergravity are completed to include the full non-linear dependence of the $D=11$ three-form potential $\hat A_{(3)}$ on the $D=4$ fields, and…

High Energy Physics - Theory · Physics 2018-02-21 Oscar Varela

The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads,…

High Energy Physics - Theory · Physics 2007-05-23 Mokhtar Hassaine , Ricardo Troncoso , Jorge Zanelli

We show how to construct half-maximal consistent truncations of 10- and 11-dimensional supergravity to seven dimensions using exceptional field theory. This procedure gives rise to a seven-dimensional half-maximal gauged supergravity…

High Energy Physics - Theory · Physics 2017-10-10 Emanuel Malek
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