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We describe a construction of geometric U-folds compatible with a non-trivial extension of the global formulation of four-dimensional extended supergravity on a differentiable spin manifold. The topology of geometric U-folds depends on…

High Energy Physics - Theory · Physics 2018-01-16 C. I. Lazaroiu , C. S. Shahbazi

We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra…

High Energy Physics - Theory · Physics 2017-04-05 Pascal du Bosque , Falk Hassler , Dieter Lust , Emanuel Malek

Several lines of evidence hint that quantum gravity at very small distances may be effectively two-dimensional. I summarize the evidence for such ``spontaneous dimensional reduction,'' and suggest an additional argument coming from the…

General Relativity and Quantum Cosmology · Physics 2010-09-07 Steven Carlip

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Marco Zagermann

We consider compactification of type IIA supergravity on nearly Kaehler manifolds. These represent a simple class of SU(3) structure manifolds which includes S^6 and CP^3. We exhibit for the first time an explicit reduction ansatz in this…

High Energy Physics - Theory · Physics 2008-11-26 Amir-Kian Kashani-Poor

We study the dimensional reduction of general relativity to a single null spacetime dimension. The dimensionally reduced theory is a theory of six scalar fields governed by three constraints. It has an infinite dimensional symmetry which is…

High Energy Physics - Theory · Physics 2021-12-13 Robert F. Penna

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 extend the formulation of gauged supergravity in five dimensions, as obtained by compactification of $M$~theory on a deformed Calabi-Yau manifold, to include non-universal matter hypermultiplets. Even in the presence of this gauging,…

High Energy Physics - Theory · Physics 2009-09-11 John Ellis , Zygmunt Lalak , Witold Pokorski

Half-supersymmetric geometries of N=2 five-dimensional gauged supergravity have recently been fully classified using spinorial geometry techniques. We use this classification to determine all possible regular half-supersymmetric…

High Energy Physics - Theory · Physics 2011-02-07 J. B. Gutowski , W. A. Sabra

In a preceding report (hep-th/0112261), Pierre Ramond outlined a programme we have followed recently. An important ingredient in a future unique theory for basic physics must be a unique mathematical structure. It is then interesting to…

High Energy Physics - Theory · Physics 2007-05-23 Lars Brink

Euclidean special geometry has recently been investigated in the context of Euclidean supersymmetric theories with vector multiplets. In the rigid case, the scalar manifold is described by affine special para-Kahler geometry while the…

High Energy Physics - Theory · Physics 2015-06-11 Jan B. Gutowski , W. A. Sabra

This rather technical paper presents some generalization of the results of recent publications \cite{Shirkov2010, DVPF2010, PFDV2010} where toy models of dimensional reduction of space-time were considered. Here we introduce and consider a…

Mathematical Physics · Physics 2010-12-17 Plamen Fiziev

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben

We consider warped compactifications of ${\cal M}$-theory to three-dimensional Minkowski space on compact eight-manifolds. Taking all the leading quantum gravity corrections of eleven-dimensional supergravity into account we obtain the…

High Energy Physics - Theory · Physics 2014-11-18 Katrin Becker , Melanie Becker

The geometry that is defined by the scalars in couplings of Einstein-Maxwell theories in N=2 supergravity in 4 dimensions is denoted as special Kaehler geometry. There are several equivalent definitions, the most elegant ones involve the…

Differential Geometry · Mathematics 2007-05-23 Antoine Van Proeyen

Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to admit a (Minkowski)_4\times S^2 vacuum solution with four-dimensional N=1 supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , C. N. Pope

We employ the G-structure formalism to study supersymmetric solutions of minimal and SU(2) gauged supergravities in seven dimensions admitting Killing spinors with associated timelike Killing vector. The most general such Killing spinor…

High Energy Physics - Theory · Physics 2009-11-10 Marco Cariglia , Oisin A. P. Mac Conamhna

A novel reduction procedure for covariant classical field theories, reflecting the generalized symplectic reduction theory of Hamiltonian systems, is presented. The departure point of this reduction procedure consists in the choice of a…

Mathematical Physics · Physics 2020-06-19 Florio M. Ciaglia , Fabio Di Cosmo , Alberto Ibort , Giuseppe Marmo , Luca Schiavone

We focus on three-dimensional QRLG with the purpose of shedding light on the link between reduced LQG and LQC in four space-time dimensions. Considering homogeneous three-dimensional LQG, the theory simplifies to QRLG. We then implement…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Jakub Bilski , Antonino Marciano

With a more relaxed perspective on what constitutes a relativity symmetry mathematically, we revisit the notion of possible relativity or kinematic symmetries mutually connected through Lie algebra contractions. We focus on the contractions…

General Relativity and Quantum Cosmology · Physics 2012-04-23 Dai-Ning Cho , Otto C. W. Kong
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