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We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold $M$ of arbitrary topology, providing a geometric characterization of its U-duality group.…

Differential Geometry · Mathematics 2021-07-02 C. I. Lazaroiu , C. S. Shahbazi

In this work, which is a follow-up of arXiv:2102.06512, we document new cosmological solutions from four-dimensional $N=4$ matter-coupled supergravity. The solutions smoothly interpolate between a $dS_2\times S^2$ spacetime at $t\rightarrow…

High Energy Physics - Theory · Physics 2025-07-03 H. L. Dao

Euclidean special geometry has recently been investigated in the context of Euclidean supersymmetric theories with vector multiplets. In the rigid case, the scalar manifold is described by affine special para-Kahler geometry while the…

High Energy Physics - Theory · Physics 2015-06-11 Jan B. Gutowski , W. A. Sabra

We provide an exhaustive classification of self-dual four-dimensional gravitational instantons foliated with three-dimensional homogeneous spaces, i.e. homogeneous self-dual metrics on four-dimensional Euclidean spaces admitting a Bianchi…

High Energy Physics - Theory · Physics 2010-04-22 F. Bourliot , J. Estes , P. M. Petropoulos , Ph. Spindel

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

High Energy Physics - Theory · Physics 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

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

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 employ the G-structure formalism to study supersymmetric solutions of minimal and SU(2) gauged supergravities in seven dimensions admitting Killing spinors with associated timelike Killing vector. The most general such Killing spinor…

High Energy Physics - Theory · Physics 2009-11-10 Marco Cariglia , Oisin A. P. Mac Conamhna

We present the gauged N=4 (half-maximal) supergravities in four and five spacetime dimensions coupled to an arbitrary number of vector multiplets. The gaugings are parameterized by a set of appropriately constrained constant tensors, which…

High Energy Physics - Theory · Physics 2008-12-13 Jonas Schon , Martin Weidner

We classify the supersymmetric solutions of minimal $N=2$ gauged supergravity in four dimensions with neutral signature. They are distinguished according to the sign of the cosmological constant and whether the vector field constructed as a…

High Energy Physics - Theory · Physics 2015-09-23 Dietmar Klemm , Masato Nozawa

We discuss general bosonic stationary configurations of N=2, D=4 supergravity coupled to vector multiplets. The requirement of unbroken supersymmetries imposes constraints on the holomorphic symplectic section of the underlying special…

High Energy Physics - Theory · Physics 2009-10-07 Klaus Behrndt , Dieter Lust , Wafic. A. Sabra

In this paper, we construct Euclidean instanton and wormhole solutions in $d=4$, N=2 supergravity theories with hypermultiplets. The analytic continuation of the hypermultiplet action, involving pseudoscalar axions, is discussed using the…

High Energy Physics - Theory · Physics 2009-10-29 Marco Chiodaroli , Michael Gutperle

We construct a topological theory for euclidean gravity in four dimensions, by enforcing self-duality conditions on the spin connection. The corresponding topological symmetry is associated to the SU(2) X diffeomorphism X U(1) invariance.…

High Energy Physics - Theory · Physics 2014-11-18 Laurent Baulieu , Alessandro Tanzini

All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the…

High Energy Physics - Theory · Physics 2010-04-05 Jorge Bellorin , Tomas Ortin

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

We study the relations between all the vacua of Lorentzian and Euclidean d=4,5,6 SUGRAs with 8 supercharges, finding a new limiting procedure that takes us from the over-rotating near-horizon BMPV black hole to the Godel spacetime. The…

High Energy Physics - Theory · Physics 2010-04-05 Patrick Meessen , Tomas Ortin

We study supersymmetric vortex solutions in three-dimensional abelian gauged supergravity. First, we construct the general U(1)-gauged D=3, N=2 supergravity whose scalar sector is an arbitrary Kahler manifold with U(1) isometry. This…

High Energy Physics - Theory · Physics 2009-11-07 M. Abou-Zeid , H. Samtleben

We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general…

High Energy Physics - Theory · Physics 2020-10-28 Guido Festuccia , Anastasios Gorantis , Antonio Pittelli , Konstantina Polydorou , Lorenzo Ruggeri

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

Extreme near-horizon geometries in D=11 supergravity preserving four supersymmetries are classified. It is shown that the Killing spinors fall into three possible orbits, corresponding to pairs of spinors defined on the spatial…

High Energy Physics - Theory · Physics 2021-08-04 D. Farotti , J. Gutowski