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A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one…

High Energy Physics - Theory · Physics 2013-07-02 E. K. Loginov

In first order formulation of pure gravity, we find a new class of solutions to the equations of motion represented by degenerate four-geometries. These configurations are described by non- invertible tetrads with two zero eigenvalues and…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Romesh K. Kaul , Sandipan Sengupta

We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3)\times SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3)\times SU(3)$, identified with the…

High Energy Physics - Theory · Physics 2016-06-15 Parinya Karndumri

We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and show that it is…

High Energy Physics - Theory · Physics 2020-12-30 Igal Arav , K. C. Matthew Cheung , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

Five dimensional Chern-Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to General Relativity with cosmological constant. We consider the zero-modes of its Kaluza-Klein compactification to four…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We generalize the classification of all supersymmetric solutions of pure N=2, D=4 gauged supergravity to the case when external sources are included. It is shown that the source must be an electrically charged dust. We give a particular…

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

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

Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell…

High Energy Physics - Theory · Physics 2018-08-24 Federico Bonetti , Dietmar Klemm , Wafic A. Sabra , Peter Sloane

It is shown that N=4 gauged supergravity in four dimensions is obtained by compactifying N=1 supergravity in ten dimensions on the group manifold $S^3\times S^3$. This could be further related to supergravity in eleven dimensions. Analysis…

High Energy Physics - Theory · Physics 2015-03-10 Ali H. Chamseddine

The two lineal gravities --- based on the de Sitter group or a central extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive classically from a unique topological gauge theory. This one is obtained after a dimensional…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Daniel Cangemi

We characterize all the supersymmetric configurations and solutions of minimal N=(1,0), d=6 supergravity coupled in the most general gauge-invariant way to an arbitrary number of tensor and vector multiplets and hypermultiplets.

High Energy Physics - Theory · Physics 2019-06-06 Pablo A. Cano , Tomas Ortin

We construct the most general four-dimensional ${\cal N}=4$ supergravity coupled to an arbitrary number $n$ of vector multiplets in which the global scaling symmetry is gauged, in addition to a subgroup of $\text{SL}(2,\mathbb{R}) \times…

High Energy Physics - Theory · Physics 2024-04-30 Nikolaos Liatsos

Using methods in the theory of semisimple Lie algebras, we can obtain all smooth solutions of the Klein-Gordon equation on the 4-dimensional de Sitter spacetime (dS^4). The mass of a Klein-Gordon scalar on dS^4 is related to an eigenvalue…

High Energy Physics - Theory · Physics 2011-12-30 Bin Zhou , Zhen-Hua Zhou

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

High Energy Physics - Theory · Physics 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

We construct analytically a new family of supersymmetric AdS$_4$ solutions of IIB supergravity, with the internal space provided by a deformed $S^5\times S^1$. The solutions preserve N=1 supersymmetry and an SO(3) subgroup of isometries of…

High Energy Physics - Theory · Physics 2022-04-13 David Berman , Thomas Fischbacher , Gianluca Inverso

Spinorial geometry techniques have recently been used to classify all half supersymmetric solutions in gauged five dimensional supergravity with vector multiplets. In this paper we consider solutions for which at least one of the Killing…

High Energy Physics - Theory · Physics 2010-01-06 Jan B. Gutowski , Wafic A. Sabra

Type IIA string theory compactified on SU(3)-structure manifolds with orientifolds allows for classical de Sitter solutions in four dimensions. In this paper we investigate these solutions from a ten-dimensional point of view. In…

High Energy Physics - Theory · Physics 2014-11-20 Ulf H. Danielsson , Paul Koerber , Thomas Van Riet

We outline the solution of the Killing spinor equations of the heterotic supergravity. In addition, we describe the classification of all half supersymmetric solutions.

Differential Geometry · Mathematics 2008-11-11 Ulf Gran , George Papadopoulos

We propose a gravitation theory in 4 dimensional space-time obtained by compacting to 4 dimensions the five dimensional topological Chern-Simons theory with the gauge group SO(1,5) or SO(2,4) -- the de Sitter or anti-de Sitter group of…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet