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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

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type…

High Energy Physics - Theory · Physics 2018-10-17 Ruben Minasian , Daniël Prins

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

We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot…

High Energy Physics - Theory · Physics 2011-04-12 Mehmet Akyol , George Papadopoulos

In this paper we derive the full set of differential equations and some algebraic relations for p-forms constructed from type IIB Killing spinors. These equations are valid for the most general type IIB supersymmetric backgrounds which have…

High Energy Physics - Theory · Physics 2008-11-26 Emily J. Hackett-Jones , Douglas J. Smith

IIA supergravity backgrounds preserving one supersymmetry locally admit four types of Killing spinors distinguished by the orbits of $Spin(9,1)$ on the space of spinors. We solve the Killing spinor equations of IIA supergravity with and…

High Energy Physics - Theory · Physics 2015-06-18 Ulf Gran , George Papadopoulos , Christian von Schultz

We determine the necessary and sufficient conditions on the metric and the four-form for the most general bosonic supersymmetric configurations of D=11 supergravity which admit a null Killing spinor i.e. a Killing spinor which can be used…

High Energy Physics - Theory · Physics 2009-11-10 Jerome P. Gauntlett , Jan B. Gutowski , Stathis Pakis

We study the general requirement for supersymmetric AdS$_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the…

High Energy Physics - Theory · Physics 2020-07-20 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

We compute explicitly the Killing spinors of some ten dimensional supergravity solutions. We begin with a 10d metric of the form $\RR^{1,3}\times{\cal Y}_6$, where ${\cal Y}_6$ is either the singular conifold or any of its resolutions.…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Arean

Half-supersymmetric geometries of N=2 five-dimensional gauged supergravity have recently been fully classified using spinorial geometry techniques. We use this classification to determine all possible regular half-supersymmetric…

High Energy Physics - Theory · Physics 2011-02-07 J. B. Gutowski , W. A. Sabra

In the framework of three dimensional extended supergravity theories, we demonstrate that there exist non-trivial Killing spinors over BPS soliton configurations, even when the space-time is asymptotically conical. We also show that there…

High Energy Physics - Theory · Physics 2009-10-30 Jose D. Edelstein

We discuss the relation between solutions admitting Killing spinors of minimal supergravities in five dimensions and four dimensional complex geometries. In the ungauged case (vanishing cosmological constant \Lambda=0) the solutions are…

High Energy Physics - Theory · Physics 2015-05-13 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Wafic Sabra

All purely bosonic supersymmetric solutions of minimal gauged supergravity in five dimensions are classified. The solutions fall into two classes depending on whether the Killing vector constructed from the Killing spinor is time-like or…

High Energy Physics - Theory · Physics 2014-11-18 Jerome P. Gauntlett , Jan B. Gutowski

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 prove the existence of 3/4-BPS preons in four- and five-dimensional gauged supergravities by explicitly constructing them as smooth quotients of the AdS_4 and AdS_5 maximally supersymmetric backgrounds, respectively. This result…

High Energy Physics - Theory · Physics 2008-11-26 José Figueroa-O'Farrill , Jan Gutowski , Wafic Sabra

We review the classification of supersymmetric solutions to minimal gauged supergravity in four dimensions. After a short introduction to the main features of the theory, we explain how to obtain all its solutions admitting a Killing…

High Energy Physics - Theory · Physics 2007-05-23 Marco M. Caldarelli

We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing…

High Energy Physics - Theory · Physics 2014-11-18 Jan B. Gutowski , Wafic A. Sabra

We investigate all N=2 supersymmetric IIB supergravity backgrounds with non-vanishing five-form flux. The Killing spinors have stability subgroups $Spin(7)\ltimes\bR^8$, $SU(4)\ltimes\bR^8$ and $G_2$. In the $SU(4)\ltimes\bR^8$ case, two…

High Energy Physics - Theory · Physics 2008-11-26 U. Gran , J. Gutowski , G. Papadopoulos

We report on the construction of four dimensional gauged supergravity models that can be interpreted as type IIB orientifold compactification in presence of 3-form fluxes and D3--branes. We mainly address our attention to the symplectic…

High Energy Physics - Theory · Physics 2009-11-10 Silvia Vaulá

We study the spinorial Killing equation of supergravity involving a torsion 3-form $\T$ as well as a flux 4-form $\F$. In dimension seven, we construct explicit families of compact solutions out of 3-Sasakian geometries, nearly parallel…

Differential Geometry · Mathematics 2014-07-21 Ilka Agricola , Thomas Friedrich