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We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional…

High Energy Physics - Theory · Physics 2009-11-10 Eric Bergshoeff , Ulf Gran , Roman Linares , Mikkel Nielsen , Tomas Ortin , Diederik Roest

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

An M/string-theory origin for the six-dimensional Salam-Sezgin chiral gauged supergravity is obtained, by embedding it as a consistent Pauli-type reduction of type I or heterotic supergravity on the non-compact hyperboloid ${\cal H}^{2,2}$…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , G. W. Gibbons , C. N. Pope

In this contribution, we present the geometric approach to supergravity. In the first part, we discuss in some detail the peculiarities of the approach and apply the formalism to the case of pure supergravity in four space-time dimensions.…

High Energy Physics - Theory · Physics 2024-12-04 Laura Andrianopoli , Riccardo D'Auria

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

We study the perturbative quantisation of N=8 supergravity in a formulation where its E7(7) symmetry is realised off-shell. Relying on the cancellation of SU(8) current anomalies we show that there are no anomalies for the non-linearly…

High Energy Physics - Theory · Physics 2010-12-17 Guillaume Bossard , Christian Hillmann , Hermann Nicolai

In this paper, the low-energy effective dynamics of M-theory, eleven-dimensional supergravity, is taken off-shell in a manifestly supersymmetric formulation. We show that a previously proposed relaxation of the superspace torsion…

High Energy Physics - Theory · Physics 2009-10-31 Martin Cederwall , Ulf Gran , Mikkel Nielsen , Bengt EW Nilsson

We present self-dual N=2 supergravity in superspace for Euclidean seven dimensions with the reduced holonomy G_2 \subset SO(7), including all higher-order terms. As its foundation, we first establish N=2 supergravity without self-duality in…

High Energy Physics - Theory · Physics 2011-07-19 Hitoshi Nishino , Subhash Rajpoot

In the context of six-dimensional supergravity there is a special class of parent models for five-dimensional theories defined by the four Euclidean simple Jordan algebras of degree 3. We extend this result to include six- dimensional…

High Energy Physics - Theory · Physics 2011-12-14 P. Kouroumalou

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 propose a formulation of gravity theory in the form of a field theory in a flat space-time with a number of dimensions greater than four. Configurations of the field under consideration describe the splitting of this space-time into a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. A. Paston

We present a new class of three-dimensional $\mathcal{N}$-extended supergravity theories based on the $\mathcal{N}$-extended Maxwell superalgebra with central charges and $\mathfrak{so}(\mathcal{N})$ internal symmetry generators. The…

High Energy Physics - Theory · Physics 2019-04-10 Patrick Concha

We review the structure of maximal $D=11$ and $D=10$ supergravities. Upon dimensional reduction, these theories give rise to the unique maximal supergravities in all lower spacetime dimensions $D<10$. In $D$ dimensions, maximal supergravity…

High Energy Physics - Theory · Physics 2023-11-17 Henning Samtleben

In this work, we propose a four-dimensional gauged Wess-Zumino-Witten model, obtained as a dimensional reduction from a transgression field theory invariant under the $\mathcal{N}=1$ Poincar\'{e} supergroup. For this purpose, we consider…

High Energy Physics - Theory · Physics 2024-12-31 Patrick Concha , Fernando Izaurieta , Evelyn Rodríguez , Sebastián Salgado

We find new supersymmetric solutions of the massive supergravity theory which can be constructed by generalized Scherk-Schwarz dimensional reduction of eleven dimensional supergravity, using the scaling symmetry of the equations of motion.…

High Energy Physics - Theory · Physics 2010-04-05 Jos Gheerardyn

We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is General Relativity (GR)…

High Energy Physics - Theory · Physics 2017-08-23 Kirill Krasnov

We construct a generalized BF theory in superspace that can embed eleven-dimensional supergravity theory. Our topological BF theory can accommodate all the necessary Bianchi identities for teleparallel superspace supergravity in…

High Energy Physics - Theory · Physics 2014-11-18 Hitoshi Nishino , Subhash Rajpoot

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

High Energy Physics - Theory · Physics 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

The lagrangian of N=2, D=6 supergravity coupled to E_7 X SU(2) vector- and hyper-multiplets is derived. For this purpose the coset manifold E_8/E_7 X SU(2), parametrized by the scalars of the hypermultiplet, is constructed. A difference…

High Energy Physics - Theory · Physics 2007-05-23 Konstantin Zyablyuk

We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with…

High Energy Physics - Theory · Physics 2015-06-15 Thomas W. Grimm , Tom G. Pugh