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We construct the twisted covariant form hierarchies (TCFH) of (massive) type IIA supergravity for common sector, D-brane and warped product AdS supersymmetric backgrounds and show that the Killing spinor bilinears satisfy a generalisation…

High Energy Physics - Theory · Physics 2025-02-21 J. Phillips

We explore all warped $AdS_4\times_w M^{D-4}$ backgrounds with the most general allowed fluxes that preserve more than 16 supersymmetries in $D=10$- and $11$-dimensional supergravities. After imposing the assumption that either the internal…

High Energy Physics - Theory · Physics 2018-03-26 A. S. Haupt , S. Lautz , G. Papadopoulos

We reduce the classification of all supersymmetric backgrounds in eleven dimensions to the evaluation of the supercovariant derivative and of an integrability condition, which contains the field equations, on six types of spinors. We…

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

We find that (massive) IIA backgrounds that admit a $G_2\ltimes \mathbb{R}^8$ invariant Killing spinor must exhibit a null Killing vector field which leaves the Killing spinor invariant and that the rotation of the Killing vector field…

High Energy Physics - Theory · Physics 2016-06-29 Ulf Gran , George Papadopoulos , Christian von Schultz

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 present a new class of solutions of D=10, N=2 chiral supergravity. A nonvanishing background for the field strength G_{MNR} of the complex two-form triggers AdS_3 x M_7 compactifications, where M_7 is a 7-dimensional compact manifold.…

High Energy Physics - Theory · Physics 2009-10-31 L. Castellani , L. Sommovigo

We classify all supersymmetric solutions of minimal gauged supergravity in four dimensions. There are two classes of solutions that are distinguished by the norm of the Killing vector constructed from the Killing spinor. If the Killing…

High Energy Physics - Theory · Physics 2009-11-10 Marco M. Caldarelli , Dietmar Klemm

We study constrained generalized Killing spinors over the metric cone and cylinder of a (pseudo-)Riemannian manifold, developing a toolkit which can be used to investigate certain problems arising in supersymmetric flux compactifications of…

High Energy Physics - Theory · Physics 2013-10-22 Calin-Iuliu Lazaroiu , Elena-Mirela Babalic

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Cacciatori , M. M. Caldarelli , D. Klemm , D. S. Mansi , D. Roest

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be…

High Energy Physics - Theory · Physics 2015-06-19 Cyril Closset , Stefano Cremonesi

We investigate compactifications of type II and M-theory down to $AdS_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal…

High Energy Physics - Theory · Physics 2016-09-21 Mariana Graña , Praxitelis Ntokos

In this PhD Thesis, supersymmetry and its formulation in the context of D=11 supergravity is discussed from several perspectives. The role of generalized holonomy as a classification tool of supersymmetric supergravity solutions is…

High Energy Physics - Theory · Physics 2009-09-29 Oscar Varela

We first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion. We then summarize recent work on the generic conditions for supersymmetric AdS_5…

High Energy Physics - Theory · Physics 2007-05-23 Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including $AdS,AdS\times S$ and H$pp$-waves) can be easily constructed using purely geometrical and…

High Energy Physics - Theory · Physics 2009-11-07 N. Alonso-Alberca , E. Lozano-Tellechea , T. Ortin

We construct a supersymmetric extension of the $I\big(ISO(2,1)\big)$ Chern-Simons gravity and show that certain particle-like solutions and the adS black-hole solution of this theory are supersymmetric.

General Relativity and Quantum Cosmology · Physics 2009-06-09 R. B. Mann , G. Papadopoulos

We discuss the notion of generalised U-duality as a solution generating technique in supergravity. We demonstrate a method to take solutions of type IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of 11-dimensional…

High Energy Physics - Theory · Physics 2022-05-24 Chris D. A. Blair , Sofia Zhidkova

Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a…

High Energy Physics - Theory · Physics 2025-01-16 Nihat Sadik Deger , Jan Rosseel , Henning Samtleben

We consider warped AdS$_3\times $S$^2\times$M$_5$ backgrounds in type II supergravity preserving small ${\cal N}=(4,0)$ supersymmetry. We show that imposing ${\cal N}=(4,0)$ supersymmetry imposes between 0 and 3 a priori isometries in the…

High Energy Physics - Theory · Physics 2022-05-11 Niall T. Macpherson , Anayeli Ramirez

We prove that Killing horizons in massive IIA supergravity preserve an even number of supersymmetries, and that their symmetry algebra contains an $\mathfrak{sl}(2, R)$ subalgebra, confirming the conjecture of [5]. We also prove a new class…

High Energy Physics - Theory · Physics 2015-11-18 U. Gran , J. Gutowski , U. Kayani , G. Papadopoulos

Using G-structure language, a systematic, iterative formalism for computing neccessary and sufficient conditions for the existence of N arbitrary linearly independent Killing spinors is presented. The key organisational tool is the common…

High Energy Physics - Theory · Physics 2009-11-10 Oisin A. P. Mac Conamhna