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Extreme near-horizon geometries in D=11 supergravity preserving four supersymmetries are classified. It is shown that the Killing spinors fall into three possible orbits, corresponding to pairs of spinors defined on the spatial…

High Energy Physics - Theory · Physics 2021-08-04 D. Farotti , J. Gutowski

We present the main features of the solution of the gravitino and dilatino Killing spinor equations derived in hep-th/0510176 and hep-th/0703143 which have led to the classification of geometric types of all type I backgrounds. We then…

High Energy Physics - Theory · Physics 2008-11-26 Ulf Gran , George Papadopoulos , Diederik Roest

We construct a global geometric model for the bosonic sector and Killing spinor equations of four-dimensional $\mathcal{N}=1$ supergravity coupled to a chiral non-linear sigma model and a Spin$^{c}_0$ structure. The model involves a…

High Energy Physics - Theory · Physics 2019-06-12 Vicente Cortés , C. I. Lazaroiu , C. S. Shahbazi

There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds…

High Energy Physics - Theory · Physics 2016-09-21 Sergei M. Kuzenko

We find non-supersymmetric AdS$_8$ solutions of type IIA supergravity. The internal space is topologically an $S^2$ with a U(1) isometry. The only non-zero flux is $F_0$; an O8 sourcing it is present at the equator of the $S^2$. The warping…

High Energy Physics - Theory · Physics 2019-09-04 Clay Cordova , G. Bruno De Luca , Alessandro Tomasiello

We elaborate further on the static supersymmetric AdS_4 black holes found in arXiv:0911.4926, investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged supergravity in the presence of Fayet-Iliopoulos terms. We…

High Energy Physics - Theory · Physics 2015-05-20 Kiril Hristov , Stefan Vandoren

We analyze general N = 2 supersymmetric AdS4 solutions of type IIB supergravity. Utilizing a set of pure spinor equations directly adapted to N = 2, the necessary and sufficient conditions for supersymmetry are reduced to a concise system…

High Energy Physics - Theory · Physics 2020-05-20 Achilleas Passias , Gautier Solard , Alessandro Tomasiello

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying…

High Energy Physics - Theory · Physics 2016-01-28 Leopoldo A. Pando Zayas , Vincent G. J. Rodgers , Catherine A. Whiting

We classify the supersymmetric solutions of minimal $N=2$ gauged supergravity in four dimensions with neutral signature. They are distinguished according to the sign of the cosmological constant and whether the vector field constructed as a…

High Energy Physics - Theory · Physics 2015-09-23 Dietmar Klemm , Masato Nozawa

We construct the Killing spinors for a class of supersymmetric solutions of type IIB supergravity that are invariant under the non-relativistic Schrodinger algebra. The solutions depend on a five-dimensional Sasaki-Einstein space and it has…

High Energy Physics - Theory · Physics 2009-11-05 Aristomenis Donos , Jerome P. Gauntlett

We perform a complete classification of AdS$_2$ solutions of Type II supergravity realising $\mathcal{N}=6$ supersymmetry and OSp$(6|2)$ superconformal symmetry on backgrounds that are foliations of AdS$_2 \times \mathbb{CP}^3$ over a…

High Energy Physics - Theory · Physics 2025-10-06 Andrea Conti , Yolanda Lozano , Niall T. Macpherson

The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which…

High Energy Physics - Theory · Physics 2009-11-11 Jan B. Gutowski , Wafic Sabra

We find the general fully non-linear solution of topologically massive supergravity admitting a Killing spinor. It is of plane-wave type, with a null Killing vector field. Conversely, we show that all solutions with a null Killing vector…

High Energy Physics - Theory · Physics 2011-04-18 G. W. Gibbons , C. N. Pope , E. Sezgin

The superspace geometry relevant to the heterotic string is reviewed from the point of view of the off-shell supermultiplet structure of $N=1,d=10$ supergravity. The anomaly-modified seven-form Bianchi identity is analysed at order $\a'^3$…

High Energy Physics - Theory · Physics 2008-05-20 P. S. Howe

We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity and explore some of the properties of the associated connections. Therefore we demonstrate that all Killing spinor bilinears satisfy a generalisation of the…

High Energy Physics - Theory · Physics 2023-06-21 G. Papadopoulos , E. Pérez-Bolaños

The superconformal structure of coset superspaces with AdS_m x S^n geometry of bosonic subspaces is studied. It is shown, in particular, that the conventional superspace extensions of the coset manifolds AdS_2 x S^2, AdS_3 x S^3 and AdS_5 x…

High Energy Physics - Theory · Physics 2009-11-07 Igor Bandos , Evgeny Ivanov , Jerzy Lukierski , Dmitri Sorokin

We consider the effective action of the Heterotic Superstring to first order in alpha prime and derive the necessary and sufficient conditions that a field configuration has to satisfy in order to admit at least one Killing spinor using the…

High Energy Physics - Theory · Physics 2021-09-21 Andrea Fontanella , Tomas Ortin

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

We explore the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in $F(4)$ gauged supergravity in six dimensions. The ansatz employed corresponds to D4-branes partially wrapped on various supersymmetric cycles in special holonomy…

High Energy Physics - Theory · Physics 2019-12-24 Nakwoo Kim , Myungbo Shim

In the $N=1$ superspace, AdS$_4$ supersymmetry is realized as the non-linear super coordinate transformations. The fermionic coordinates form a faithful non-linear representation of supersymmetry on their own. By introducing an auxiliary…

High Energy Physics - Theory · Physics 2025-03-25 Chen-Xu Han , Zhao-Long Wang , Yi Yan