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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

We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. The internal background is found to be a conformally Kahler…

High Energy Physics - Theory · Physics 2015-06-22 Thomas W. Grimm , Tom G. Pugh , Matthias Weissenbacher

We consider 1+3-dimensional domain wall solutions of heterotic supergravity on a six-dimensional warped nearly K\"ahler manifold $X_6$ in the presence of gravitational and gauge instantons of tanh-kink type as constructed in…

High Energy Physics - Theory · Physics 2014-12-05 Alexander S. Haupt , Olaf Lechtenfeld , Edvard T. Musaev

We derive the necessary and sufficient conditions for the existence of a Killing spinor in N=(1,0) gauge supergravity in six dimensions coupled to a single tensor multiplet, vector multiplets and hypermultiplets. These are shown to imply…

High Energy Physics - Theory · Physics 2009-11-11 D. C. Jong , A. Kaya , E. Sezgin

We continue the investigation into non-maximally symmetric compactifications of the heterotic string. In particular, we consider compactifications where the internal space is allowed to depend on two or more external directions. For…

High Energy Physics - Theory · Physics 2016-04-20 Stephen Angus , Cyril Matti , Eirik Eik Svanes

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

Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional ${\cal N}=1$ heterotic supergravity coupled to ${\cal N}=1$ super Yang-Mills over manifolds admitting a nearly-K\"{a}hler…

High Energy Physics - Theory · Physics 2009-09-24 Athanasios Chatzistavrakidis , George Zoupanos

We find analytic solutions of type IIB supergravity on geometries that locally take the form $\text{Mink}\times M_4\times \mathbb{C}$ with $M_4$ a generalised complex manifold. The solutions involve the metric, the dilaton, NSNS and RR flux…

High Energy Physics - Theory · Physics 2015-06-23 Philip Candelas , Andrei Constantin , Cesar Damian , Magdalena Larfors , Jose Francisco Morales

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 compare heterotic string models on orbifolds with supergravity models on smooth compact spaces, obtained by resolving the orbifold singularities. Our main focus is on heterotic E8xE8 models on the resolution of the compact T^6/Z_3…

High Energy Physics - Theory · Physics 2009-11-19 Stefan Groot Nibbelink , Denis Klevers , Felix Ploger , Michele Trapletti , Patrick K. S. Vaudrevange

We study the dimensional reduction of the ${\cal N}=1$, ten-dimensional Heterotic Supergravity to four dimensions, at leading order in $\alpha'$, when the internal space is a nearly-K\"{a}hler manifold. Nearly-K\"{a}hler manifolds in six…

High Energy Physics - Theory · Physics 2011-03-02 A. Chatzistavrakidis , P. Manousselis , G. Zoupanos

We generalise the notion of a Killing superalgebra, which arises in the physics literature on supergravity, to general dimension, signature and choice of spinor module and Dirac current. We also allow for Lie algebras as well as…

Differential Geometry · Mathematics 2025-10-01 Andrew D. K. Beckett

This is a survey paper. We explain the known constructions for two geometrically different classes of examples of compact Riemannian 7-manifolds with holonomy G2. One method uses resolutions of singularities of appropriately chosen…

Differential Geometry · Mathematics 2019-09-26 Alexei Kovalev

In this article we complete the classification of the supersymmetric solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of vector- and hypermultiplets. We find that in the timelike case the hypermultiplets cause the…

High Energy Physics - Theory · Physics 2008-11-26 Mechthild Huebscher , Patrick Meessen , Tomas Ortin

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

We establish a general analytic and geometric framework for resolving Spin(7)--orbifolds. These spaces arise naturally as boundary points in the moduli space of exceptional holonomy metrics, and smooth Gromov--Hausdorff resolutions can be…

Differential Geometry · Mathematics 2025-09-24 Viktor F. Majewski

We consider supergravity solutions corresponding to D7 branes wrapped on Kahler manifolds with a U(1)_R twist such that some supersymmetry is preserved. We find a class of 1/4-BPS backgrounds where a D7-brane is wrapped on a T^2 torus with…

High Energy Physics - Theory · Physics 2016-09-06 Martin Kruczenski

We present a detailed study of the reduction to 4D of 5D supergravity compactified on the S^1/Z_2 orbifold. For this purpose we develop and employ a recently proposed N=1 conformal superfield description of the 5D supergravity couplings to…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Paccetti Correia , Michael G. Schmidt , Zurab Tavartkiladze

We classify supersymmetric solutions of D=5 (3,2) signature supergravity with either vanishing or imaginary gauge coupling constant preserving the minimal N=2 supersymmetry. We prove that the geometry of such solutions is characterized by a…

High Energy Physics - Theory · Physics 2024-02-08 D. Farotti , J. B. Gutowski , W. A. Sabra

We consider non perturbative effects in M-theory compactifications on a seven-manifold of G_2 holonomy arising from membranes wrapped on supersymmetric three-cycles. When membranes are wrapped on associative submanifolds they induce a…

High Energy Physics - Theory · Physics 2009-01-07 Rafael Hernandez
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