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This is a doctoral thesis on the application of techniques originally developed in the programme of characterisation of supersymmetric solutions to Supergravity theories, to finding alternative backgrounds. We start by discussing the…

High Energy Physics - Theory · Physics 2013-03-07 Alberto Palomo-Lozano

We derive, for spacetimes admitting a Spin(7) structure, the general local bosonic solution of the Killing spinor equation of eleven dimensional supergravity. The metric, four form and Killing spinors are determined explicitly, up to an…

High Energy Physics - Theory · Physics 2008-11-26 Marco Cariglia , Oisin A. P. Mac Conamhna

We study N=2 superconformal theories on Euclidean and Lorentzian four-manifolds with a view toward applications to holography and localization. The conditions for supersymmetry are equivalent to a set of differential constraints including a…

High Energy Physics - Theory · Physics 2015-06-16 Claudius Klare , Alberto Zaffaroni

We develop the differential theory of complex spinorial forms associated with irreducible complex spinors across all dimensions and signatures. This framework enables the study of constrained parallelicity conditions for irreducible complex…

Differential Geometry · Mathematics 2026-05-22 Alejandro Gil-García , C. S. Shahbazi

The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved…

High Energy Physics - Theory · Physics 2015-06-19 M. Akyol , G. Papadopoulos

A class of black objects which are solutions of pure gravity with negative cosmological constant are classified through the mapping between the Killing spinors of the ground state and those of the transverse section. It is shown that these…

High Energy Physics - Theory · Physics 2009-11-07 Rodrigo Aros , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We classify the supersymmetric vacua of N=4, d=5 supergravity in terms of G-structures. We identify three classes of solutions: with R^3, SU(2) and generic SO(4) structure. Using the Killing spinor equations, we fully characterize the first…

High Energy Physics - Theory · Physics 2008-11-26 James T. Liu , Manavendra Mahato , Diana Vaman

We study the integrability of geodesic flow in the background of some recently discovered charged rotating solutions of supergravity in four and five dimensions. Specifically, we work with the gauged multicharge Taub-NUT-Kerr-(Anti) de…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Muraari Vasudevan

We study maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \ge 3$ space-time dimensions. For vanishing background fluxes the space-time background has to be either Minkowski or anti-de Sitter. We…

High Energy Physics - Theory · Physics 2017-03-08 Jan Louis , Severin Lust

The U(1) gauged version of the Strominger-Vafa five dimensional N=2 supergravity with one vector multiplet is obtained via dimensional reduction from the N=1 ten dimensional supergavity. Using such explicit relation between the gauged…

High Energy Physics - Theory · Physics 2009-10-31 A. H. Chamseddine , W. A. Sabra

We show that the isometries of the manifold of scalars in $N=2$ supergravity in $d=5$ space-time dimensions can be broken by the supergravity interactions. The opposite conclusion holds for the dimensionally reduced $d=4$ theories, where…

High Energy Physics - Theory · Physics 2009-10-22 Bernard de Wit , Antoine Van Proeyen

We investigate the near horizon geometry of IIB supergravity black holes with non-vanishing 5-form flux preserving at least two supersymmetries. We demonstrate that there are three classes of solutions distinguished by the choice of Killing…

High Energy Physics - Theory · Physics 2012-08-07 U. Gran , J. Gutowski , G. Papadopoulos

We review some aspects of the spinorial geometry approach to the classification of supersymmetric solutions of supergravity theories. In particular, we explain how spinorial geometry can be used to express the Killing spinor equations in…

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

We show that all domain-wall solutions of gravity coupled to scalar fields for which the worldvolume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential…

High Energy Physics - Theory · Physics 2008-11-26 Kostas Skenderis , Paul K. Townsend

We investigate Killing tensors for various black hole solutions of supergravity theories. Rotating black holes of an ungauged theory, toroidally compactified heterotic supergravity, with NUT parameters and two U(1) gauge fields are…

High Energy Physics - Theory · Physics 2014-11-18 David D. K. Chow

Supersymmetric warped product dS4 solutions in D=11 supergravity are classified. The Killing spinor is associated with two possible stabilizer groups, SU(3) and G_2. We show that there are no solutions to the Killing Spinor equations in the…

High Energy Physics - Theory · Physics 2022-10-19 M. Di Gioia , J. Gutowski

We investigate the Killing spinor equations of IIB supergravity for one Killing spinor. We show that there are three types of orbits of Spin(9,1) in the space of Weyl spinors which give rise to Killing spinors with stability subgroups…

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

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

New no-scale supergravity models with F-term SUSY breaking are introduced, adopting Kaehler potentials parameterizing flat or curved (compact or non-compact) Kaehler manifolds. We systematically derive the form of the superpotentials…

High Energy Physics - Phenomenology · Physics 2023-04-19 C. Pallis

We survey on-shell and off-shell higher derivative supergravities in dimensions $1\le D\le 11$. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor…

High Energy Physics - Theory · Physics 2024-08-06 Mehmet Ozkan , Yi Pang , Ergin Sezgin
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