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Expanding on previous papers, we continue studying Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. Using a set of differential constraints on a $SU(2)$ structure, we look for further…

High Energy Physics - Theory · Physics 2019-06-26 Carolina Matté Gregory

We study a nonminimal derivative coupling (NMDC) of scalar field, where the scalar field is coupled to curvature tensor in the five dimensional universal extra dimension model. We apply the Einstein equation and find its solution. First, we…

General Relativity and Quantum Cosmology · Physics 2014-05-01 Agus Suroso , Freddy P. Zen

In this review, basic definitions of spin geometry are given and some of its applications to supersymmetry, supergravity and condensed matter physics are summarized. Clifford algebras and spinors are defined and the first-order differential…

Mathematical Physics · Physics 2018-01-30 Ümit Ertem

We determine the Killing superalgebras underpinning field theories with rigid unextended supersymmetry on Lorentzian four-manifolds by re-interpreting them as filtered deformations of $\mathbb{Z}$-graded subalgebras with maximum odd…

High Energy Physics - Theory · Physics 2016-07-20 Paul de Medeiros , José Figueroa-O'Farrill , Andrea Santi

Off-shell formulations of supergravities allow one to add closed-form higher-derivative super-invariants that are separately supersymmetric to the usual lower-derivative actions. In this paper we study four-dimensional off-shell N=1…

High Energy Physics - Theory · Physics 2013-05-21 Hai-Shan Liu , Hong Lu , Yi Pang , C. N. Pope

Five-dimensional gauge and gravity theories are known to exhibit striking properties. D=5 is the lowest dimension where massive tensor states appear naturally, providing a testing ground for perturbative insights into six-dimensional tensor…

High Energy Physics - Theory · Physics 2023-02-22 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

It is of interest to study supergravity solutions preserving a non-minimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the spacetime admits a Killing spinor and hence a null or timelike…

Differential Geometry · Mathematics 2018-04-23 A. Coley , D. McNutt , N. Pelavas

It is presented a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on a treating of a constancy of a coupling constant as a dynamical constraint following as an…

High Energy Physics - Theory · Physics 2007-05-23 C. Burdik , S. Krivonos , A. Shcherbakov

The killing spinor of a linearly confining supergravity background previously proposed and argued to produce features of pure N=1 SU(N) gauge theory in four dimensions is constructed directly using the supersymmetry variations of the…

High Energy Physics - Theory · Physics 2020-01-10 Girma Hailu

We consider 5-dimensional gauged supergravity coupled to Abelian vector multiplets, and we look for supersymmetric solutions for which the 4-dimensional K\"ahler base space admits a holomorphic isometry. Taking advantage of this isometry,…

High Energy Physics - Theory · Physics 2017-08-02 Samuele Chimento

We classify the supersymmetric solutions of ungauged N=1 d=5 SUGRA coupled to vector multiplets and hypermultiplets. All the solutions can be seen as deformations of solutions with frozen hyperscalars. We show explicitly how the…

High Energy Physics - Theory · Physics 2010-10-27 J. Bellorin , P. Meessen , T. Ortin

Continuous symmetries of spacetime such as spatial homogeneity and isotropy are rigorously defined using the concept of isometries and Killing vectors. In supergravity, the metric, or rather the tetrad, is not a standalone entity, but is…

High Energy Physics - Theory · Physics 2024-11-20 Nephtalí Eliceo Martínez Pérez , Cupatitzio Ramírez Romero

We find a general class of rotating charged black hole solutions to N=2, D=5 gauged supergravity coupled to vector supermultiplets. The supersymmetry properties of these solutions are studied, and their mass and angular momenta are…

High Energy Physics - Theory · Physics 2010-02-03 D. Klemm , W. A. Sabra

Several recent papers have made considerable progress in proving the existence of remarkable consistent Kaluza-Klein sphere reductions of D=10 and D=11 supergravities, to give gauged supergravities in lower dimensions. A proof of the…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

The spinorial geometry method is an effective method for constructing systematic classifications of supersymmetric supergravity solutions. Recent work on analysing highly supersymmetric solutions in type IIB supergravity using this method…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest

We solve the Killing spinor equations of standard and massive IIA supergravities for a Killing spinor whose isotropy subgroup in Spin(9, 1) is SU(4) and identify the geometry of the spacetime. We demonstrate that the Killing spinor…

High Energy Physics - Theory · Physics 2016-01-27 Ulf Gran , George Papadopoulos , Christian von Schultz

We define the notion of a Killing (super)algebra for a connection on a spinor bundle associated to a generalised spin structure on a pseudo-Riemannian manifold of any signature. We are led naturally to include in the even subspace not only…

Differential Geometry · Mathematics 2025-11-12 Andrew D. K. Beckett

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Vilson T. Zanchin , Antares Kleber , Jose' P. S. Lemos

The supersymmetry properties of Killing vectors and spinors in supergravity theory can be clarified by relating them to Killing supervectors in the supergravity superspace. In the superspace approach it is manifest that supersymmetry…

High Energy Physics - Theory · Physics 2024-11-05 Igor Bandos , Patrick Meessen , Tomás Ortín

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
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