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Compactifications in duality covariant constructions such as generalised geometry and double field theory have proven to be suitable frameworks to reproduce gauged supergravities containing non-geometric fluxes. However, it is a priori…

High Energy Physics - Theory · Physics 2012-10-31 G. Dibitetto , J. J. Fernandez-Melgarejo , D. Marques , D. Roest

We consider the sector of N=8 five-dimensional gauged supergravity with non-trivial scalar fields in the coset space SL(6,R)/SO(6), plus the metric. We find that the most general supersymmetric solution is parametrized by six real moduli…

High Energy Physics - Theory · Physics 2009-10-31 I. Bakas , K. Sfetsos

Second-order superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the non-linear partial differential equations employed in current methods become unmanageable. Here we propose…

Differential Geometry · Mathematics 2025-05-09 Jonathan Kress , Konrad Schöbel , Andreas Vollmer

We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)xU(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric…

High Energy Physics - Theory · Physics 2015-06-16 Dario Martelli , Achilleas Passias

We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks

We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in N=2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure…

High Energy Physics - Theory · Physics 2015-06-16 Dario Rosa , Alessandro Tomasiello

We present the superfield generalization of free higher spin equations in tensorial superspaces and analyze tensorial supergravities with GL(n) and SL(n) holonomy as a possible framework for the construction of a non-linear higher spin…

High Energy Physics - Theory · Physics 2009-11-10 Igor Bandos , Paolo Pasti , Dmitri Sorokin , Mario Tonin

We consider inhomogeneous supersymmetric bilinear forms, i.e., forms that are neither even nor odd. We classify such forms up to dimension seven in the case when the restrictions of the form to the even and odd parts of the superspace are…

Representation Theory · Mathematics 2017-09-21 Bojko Bakalov , McKay Sullivan

We study the near horizon geometry of generic Killing horizons constructing suitable coordinates and taking the appropriate scaling limit. We are able to show that the geometry will always show an enhancement of symmetries, and, in the…

High Energy Physics - Theory · Physics 2014-06-20 Bruno Carneiro da Cunha , Amilcar de Queiroz

Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace Bianchi identities, after suitable conventional…

High Energy Physics - Theory · Physics 2009-11-07 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us (D.G.). These field theories can also be…

High Energy Physics - Theory · Physics 2009-11-10 Davide Gaiotto , Juan Maldacena

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We examine five-dimensional $\mathcal N=2$ gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of $R^2$, and were originally obtained in hep-th/0611329 using…

High Energy Physics - Theory · Physics 2015-05-13 Sera Cremonini , Kentaro Hanaki , James T. Liu , Phillip Szepietowski

We define supersymmetric spin networks, which provide a complete set of gauge invariant states for supergravity and supersymmetric gauge theories. The particular case of Osp(1/2) is studied in detail and applied to the non-perturbative…

High Energy Physics - Theory · Physics 2009-10-31 Yi Ling , Lee Smolin

We study the supersymmetric tensor hierarchy of pure (gauged) N=2,d=4,5,6 supergravity and compare them with those of the pure, ungauged, theories (worked out by Gomis and Roest for d=5) and the predictions of the Kac-Moody approach made by…

High Energy Physics - Theory · Physics 2010-11-30 Mechthild Huebscher , Tomas Ortin , C. S. Shahbazi

We develop a formalism to construct supersymmetric backgrounds within the superspace formulation for five-dimensional (5D) conformal supergravity given in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for 5D…

High Energy Physics - Theory · Physics 2015-10-08 Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We study the hidden symmetries arising in the dimensional reduction of d=5, N=2 supergravity to three dimensions. Extending previous partial results for the bosonic part, we give a derivation that includes fermionic terms, shedding light on…

High Energy Physics - Theory · Physics 2010-04-05 Markus Pössel , Sebastian Silva

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive…

High Energy Physics - Theory · Physics 2018-08-08 Yu. M. Zinoviev

We propose a new method to solve the Killing spinor equations of eleven-dimensional supergravity based on a description of spinors in terms of forms and on the Spin(1,10) gauge symmetry of the supercovariant derivative. We give the…

High Energy Physics - Theory · Physics 2009-10-09 Joe Gillard , Ulf Gran , George Papadopoulos

We adapt the spinorial geometry method to investigate supergravity backgrounds with near maximal number of supersymmetries. We then apply the formalism to show that the IIB supergravity backgrounds with 31 supersymmetries preserve an…

High Energy Physics - Theory · Physics 2009-11-11 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest