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Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell…

High Energy Physics - Theory · Physics 2018-08-24 Federico Bonetti , Dietmar Klemm , Wafic A. Sabra , Peter Sloane

We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds admitting an isometry. Generalized Killing spinor equations are derived from the consistency of supersymmetry algebrae and solved in the case of four manifolds…

High Energy Physics - Theory · Physics 2015-07-28 Aditya Bawane , Giulio Bonelli , Massimiliano Ronzani , Alessandro Tanzini

We reduce the classification of all supersymmetric backgrounds of IIB supergravity to the evaluation of the Killing spinor equations and their integrability conditions, which contain the field equations, on five types of spinors. This…

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

I review a recently proposed method for determining the symmetry superalgebra of a supergravity configuration from its Killing spinors, and its application to the `near-horizon' limits of various rotating and intersecting branes.

High Energy Physics - Theory · Physics 2007-05-23 P. K. Townsend

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

We review the recent progress made towards the classification of supersymmetric solutions in ten and eleven dimensions with emphasis on those of IIB supergravity. In particular, the spinorial geometry method is outlined and adapted to…

High Energy Physics - Theory · Physics 2016-04-26 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Pietro Benetti Genolini , Martin Fluder , Paul Richmond , James Sparks

We find the warped AdS_4 x K type-IIB supergravity solutions holographically dual to a large family of three dimensional \cN=4 superconformal field theories labeled by a pair (\rho,\hat\rho) of partitions of N. These superconformal theories…

High Energy Physics - Theory · Physics 2015-05-28 Benjamin Assel , Costas Bachas , John Estes , Jaume Gomis

The bosonic sector of various supergravity theories reduces to a homogeneous space G/H in three dimensions. The corresponding algebras g are simple for (half-)maximal supergravity, but can be semi-simple for other theories. We extend the…

High Energy Physics - Theory · Physics 2009-12-07 Axel Kleinschmidt , Diederik Roest

We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are…

High Energy Physics - Theory · Physics 2016-07-18 Özgür Açık , Ümit Ertem

The techniques of spinorial geometry are used to classify solutions admitting Killing spinors in the theory of minimal anti-de Sitter $N=2$, $D=4$ supergravity, where the gauge kinetic term comes with the opposite sign. There are four…

High Energy Physics - Theory · Physics 2020-01-08 J. B. Gutowski , W. A. Sabra

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We review the group-geometric approach to supergravity theories, in the perspective of recent developments and applications. Usual diffeomorphisms, gauge symmetries and supersymmetries are unified as superdiffeomorphisms in a supergroup…

High Energy Physics - Theory · Physics 2019-11-19 Leonardo Castellani

It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions…

High Energy Physics - Theory · Physics 2013-06-04 J. Grover , J. B. Gutowski , W. A. Sabra

We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. The first type corresponds to the…

High Energy Physics - Theory · Physics 2015-05-20 J. B. Gutowski , W. A. Sabra

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

The near-horizon geometry of an asymptotically AdS_5 supersymmetric black hole discovered by Gutowski and Reall is analysed. After lifting the solution to 10 dimensions, we explicitly solve the Killing spinor equations in both Poincare and…

High Energy Physics - Theory · Physics 2010-10-27 Aninda Sinha , Julian Sonner , Nemani V. Suryanarayana

The recent construction of the non-semisimple gaugings of maximal D=5 supergravity is reported here. This construction is worked out in the so-called rheonomic approach, based on Free Differential Algebras and the solution of their Bianchi…

High Energy Physics - Theory · Physics 2015-06-25 Laura Andrianopoli , Francesco Cordaro , Pietro Fre' , Leonardo Gualtieri

We show that a class of solutions of minimal supergravity in five dimensions is given by lifts of three--dimensional Einstein--Weyl structures of hyper-CR type. We characterise this class as most general near--horizon limits of…

High Energy Physics - Theory · Physics 2017-02-15 Maciej Dunajski , Jan Gutowski , Wafic Sabra

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N=8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a…

High Energy Physics - Theory · Physics 2011-02-07 Nihat Sadik Deger , Henning Samtleben , Ozgur Sarioglu