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We derive the full canonical formulation of the bosonic sector of 11-dimensional supergravity, and explicitly present the constraint algebra. We then compactify M-theory on a warped product of homogeneous spaces of constant curvature, and…

High Energy Physics - Theory · Physics 2008-11-26 Sergey Grigorian

We review the superspace technique to determine supersymmetric spacetimes in the framework of off-shell formulations for supergravity in diverse dimensions using the case of 3D N=2 supergravity theories as an illustrative example. This…

High Energy Physics - Theory · Physics 2015-05-01 Sergei M. Kuzenko

String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry…

High Energy Physics - Theory · Physics 2021-11-10 Louis Gall , Thomas Mohaupt

We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that…

High Energy Physics - Theory · Physics 2018-05-10 U. Kayani

Solutions of five dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the "timelike'' solutions are determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold. If the HKT…

High Energy Physics - Theory · Physics 2009-01-26 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Wafic Sabra

We describe the construction of a Lie superalgebra associated to an arbitrary supersymmetric M-theory background, and discuss some examples. We prove that for backgrounds with more than 24 supercharges, the bosonic subalgebra acts locally…

High Energy Physics - Theory · Physics 2012-08-03 José Figueroa-O'Farrill , Patrick Meessen , Simon Philip

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

We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories in all cases. In particular, we derive the conditions on the fields imposed by the Killing spinor equations and demonstrate that these depend on the…

High Energy Physics - Theory · Physics 2015-06-04 Mehmet Akyol , George Papadopoulos

We review various aspects of configurations of intersecting branes, including the conditions for preservation of supersymmetry. In particular, we discuss the projection conditions on the Killing spinors for given brane configurations and…

High Energy Physics - Theory · Physics 2014-11-18 Douglas J. Smith

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

We discuss phantom metrics admitting Killing spinors in fake N=2, D=4 supergravity coupled to vector multiplets. The Abelian U(1) gauge fields in the fake theory have kinetic terms with the wrong sign. We solve the Killing spinor equations…

High Energy Physics - Theory · Physics 2015-10-28 Maryam Bu Taam , Wafic A. Sabra

By following Seiberg's prescriptions on DLCQ of $M$ theory, we give the background geometries of DLCQ supergravity associated with $N$ sector of DLCQ of $M$ theory on $T^p$ with vanishingly small radii. Most of these are the product of…

High Energy Physics - Theory · Physics 2014-11-18 S. Hyun

We extend the refined G-structure classification of supersymmetric solutions of eleven dimensional supergravity. We derive necessary and sufficient conditions for the existence of an arbitrary number of Killing spinors whose common isotropy…

High Energy Physics - Theory · Physics 2013-05-29 Oisin A. P. Mac Conamhna

In the recent times a lot of effort has been devoted to improve our knowledge about the space of string theory vacua (``the landscape'') to find statistical grounds to justify how and why the theory selects its vacuum. Particularly…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Tomas Ortin

The connection between Supergravity and the low-energy world is analyzed. In particular, the soft Supersymmetry-breaking terms arising in Supergravity, the $\mu$ problem and various solutions proposed to solve it are reviewed. The soft…

High Energy Physics - Theory · Physics 2007-05-23 C. Muñoz

We find all symmetric space solutions of eleven-dimensional supergravity completing an earlier classification by Figueroa-O'Farrill. They come in two types: AdS solutions and pp-wave solutions. We analyze the supersymmetry conditions and…

High Energy Physics - Theory · Physics 2017-06-07 Linus Wulff

Studying a quantum field theory involves a choice of space-time manifold and a choice of background for any global symmetries of the theory. We argue that many more choices are possible when specifying the background. In the context of…

High Energy Physics - Theory · Physics 2016-12-21 Travis Maxfield , Daniel Robbins , Savdeep Sethi

We present a systematic classification of counterterms of four-dimensional supersymmetric field theories on curved space, obtained as the rigid limit of new minimal supergravity. These are supergravity invariants constructed using the field…

High Energy Physics - Theory · Physics 2015-06-23 Benjamin Assel , Davide Cassani , Dario Martelli

This paper considers eleven dimensional supergravity on a manifold with boundary and the theories related to heterotic $M$-theory, in which the matter is confined to the boundary. New low energy actions and boundary conditions on…

High Energy Physics - Theory · Physics 2011-08-11 Ian G. Moss

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