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We employ the language of Cartan's geometry to present a model for studying vector spaces of Killing two-tensors defined in pseudo-Riemannian spaces of constant curvature under the action of the corresponding isometry group. We also discuss…

Differential Geometry · Mathematics 2007-05-23 Caroline M. Adlam , Raymond G. McLenaghan , Roman G. Smirnov

Generalized membrane solutions of D=11 supergravity, for which the transverse space is a toric hyper-K{\" a}hler manifold, are shown to have IIB duals representing the intersection of parallel 3-branes with 5-branes whose orientations are…

High Energy Physics - Theory · Physics 2009-10-07 J. P. Gauntlett , G. W. Gibbons , G. Papadopoulos , P. K. Townsend

Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector field then the Ricci tensor of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Metin Gurses

We consider the problem of extremizing the tension for BPS strings in D=6 supergravities with different number of supersymmetries. General formulae for fixed scalars and a discussion of degenerate directions is given. Quantized moduli,…

High Energy Physics - Theory · Physics 2009-10-31 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that…

High Energy Physics - Theory · Physics 2015-06-26 Bernard de Wit , Henning Samtleben

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this…

High Energy Physics - Theory · Physics 2009-02-19 Micha Berkooz , Boris Pioline

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

We explore the connection of anti-de-Sitter supergravity in six dimensions, based on the exceptional F(4) superalgebra, and its boundary superconformal singleton theory. The interpretation of these results in terms of a D4-D8 system and its…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

We study CKT (or bi-HKT) N = 4 supersymmetric quantum mechanical sigma models. They are characterized by the usual and the mirror sectors displaying each HKT geometry. When the metric involves isometries, a Hamiltonian reduction is…

High Energy Physics - Theory · Physics 2016-06-17 S. A. Fedoruk , A. V. Smilga

The phenomenology of a low-energy supersymmetry at hadron colliders is discussed with consideration of the minimal supergravity model, with a large top quark Yukawa coupling at the grand unification mass scale, and gauge mediated symmetry…

High Energy Physics - Phenomenology · Physics 2016-10-26 V. Barger

We study the rigid limit of 5d conformal supergravity with minimal supersymmetry on Riemannian manifolds. The necessary and sufficient condition for the existence of a solution is the existence of a conformal Killing vector. Whenever a…

High Energy Physics - Theory · Physics 2015-10-28 Alessandro Pini , Diego Rodriguez-Gomez , Johannes Schmude

Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of $AdS_{4,5}\times{M}_2$, respectively, where $M_2$ is a two-dimensional surface with a Killing vector. We…

High Energy Physics - Theory · Physics 2024-04-03 Minwoo Suh

This report provides a pedagogical introduction to the description of the general Poincare supergravity/matter/Yang-Mills couplings using methods of Kahler superspace geometry. At a more advanced level this approach is generalized to…

High Energy Physics - Theory · Physics 2008-11-26 P. Binetruy , G. Girardi , R. Grimm

Projective superspace provides a natural framework for the construction of actions coupling hypermultiplets to conformal supergravity. We review how the off-shell actions are formulated in superspace and then discuss how to eliminate the…

High Energy Physics - Theory · Physics 2015-02-10 Daniel Butter

We study supersymmetric vortex solutions in three-dimensional abelian gauged supergravity. First, we construct the general U(1)-gauged D=3, N=2 supergravity whose scalar sector is an arbitrary Kahler manifold with U(1) isometry. This…

High Energy Physics - Theory · Physics 2009-11-07 M. Abou-Zeid , H. Samtleben

A combined model of the Kerr spinning particle and superparticle is considered. The structure of the Kerr geometry is presented in a complex form as being created by a complex source. A natural supergeneralization of this construction is…

High Energy Physics - Theory · Physics 2009-10-30 Alexander Burinskii

We prove that locally any hyper-K\"ahler metric with torsion admits an HKT potential.

Differential Geometry · Mathematics 2009-11-10 Bertrand Banos , Andrew Swann

The aim of this article is to review the recent developments in the phenomenology of quantum gravity at the Large Hadron Collider. We shall pay special attention to four-dimensional models which are able to lower the reduced Planck mass to…

High Energy Physics - Phenomenology · Physics 2015-03-17 Xavier Calmet

The notion of a Killing tensor is generalised to a superspace setting. Conserved quantities associated with these are defined for superparticles and Poisson brackets are used to define a supersymmetric version of the Schouten-Nijenhuis…

High Energy Physics - Theory · Physics 2016-04-20 P. S. Howe , U. Lindström

The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and para-Kahler structures are constructed and classified…

Mathematical Physics · Physics 2009-08-05 Paolo Maraner , Jiannis K. Pachos