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We classify super-symmetric solutions of the minimal $N=2$ gauged Euclidean supergravity in four dimensions. The solutions with anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the…

High Energy Physics - Theory · Physics 2011-01-17 Maciej Dunajski , Jan Gutowski , Wafic Sabra , Paul Tod

We explore the Euclidean supersymmetric solutions admitting the self-dual gauge field in the framework of ${\cal N}=2$ minimal gauged supergravity in four dimensions. According to the classification scheme utilizing the spinorial geometry…

High Energy Physics - Theory · Physics 2017-05-03 Masato Nozawa

We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three…

High Energy Physics - Theory · Physics 2011-04-04 M. Dunajski , J. B. Gutowski , W. A. Sabra , Paul Tod

The Robinson-Trautman solution in the Einstein-Maxwell-$\Lambda$ system admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. Restricting to the case where the Maxwell field is aligned, i.e., the…

High Energy Physics - Theory · Physics 2024-11-01 Masato Nozawa

We study some symmetry and integrability properties of four-dimensional Einstein-Maxwell gravity with nonvanishing cosmological constant in the presence of Killing vectors. First of all, we consider stationary spacetimes, which lead, after…

High Energy Physics - Theory · Physics 2015-10-07 Dietmar Klemm , Masato Nozawa , Marco Rabbiosi

We consider four-dimensional, Riemannian, Ricci-flat metrics for which one or other of the self-dual or anti-self-dual Weyl tensors is type-D. Such metrics always have a valence-2 Killing spinor, and therefore a Hermitian structure and at…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Paul Tod

We give a complete proof of the result stated in an earlier article, that the general Einstein metric with a symmetry, an anti-self-dual Weyl tensor and nonzero scalar curvature is determined by a solution of the $SU(\infty)$-Toda field…

High Energy Physics - Theory · Physics 2007-05-23 Paul Tod

We obtain explicitly all solutions of the SU(infinity) Toda field equation with the property that the associated Einstein-Weyl space admits a 2-sphere of divergence-free shear-free geodesic congruences. The solutions depend on an arbitrary…

Differential Geometry · Mathematics 2009-09-25 David M. J. Calderbank , Paul Tod

We find new non-supersymmetric solutions of five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are regular, horizonless and have the same asymptotic charges as non-extremal charged black holes. An…

High Energy Physics - Theory · Physics 2013-02-19 Nikolay Bobev , Clement Ruef

We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector coming from the Killing spinor bilinear by considering their identification under the…

High Energy Physics - Theory · Physics 2015-07-09 Nihat Sadik Deger , George Moutsopoulos , Henning Samtleben , Ozgur Sarioglu

We built the first eleven-dimensional supergravity solutions with SO(2,4)xSO(3)xU(1)_R symmetry that exhibit the asymptotic emergence of an extra U(1) isometry. This enables us to make the connection with the usual electrostatics-quiver…

High Energy Physics - Theory · Physics 2014-09-16 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos

We consider four-dimensional, Riemannian metrics for which one or other of the self-dual or anti-self-dual Weyl tensors is type-D and which satisfy the Einstein-Maxwell equations with the corresponding Maxwell field aligned with the type-D…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Paul Tod

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 perform full integration of the stationary axisymmetric Einstein-Maxwell-dilaton-axion (EMDA) theory with and without potential using a recently proposed generalization of Carter's approach to spacetimes beyond type D, allowing the…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Dmitri Gal'tsov , Rostom Karsanov

We deepen and refine the classification of supersymmetric solutions to N=2, D=4 gauged supergravity obtained in a previous paper. In the case where the Killing vector constructed from the Killing spinor is timelike, it is shown that the…

High Energy Physics - Theory · Physics 2009-11-10 Sergio L. Cacciatori , Marco M. Caldarelli , Dietmar Klemm , Diego S. Mansi

We classify all supersymmetric solutions of minimal gauged supergravity in four dimensions. There are two classes of solutions that are distinguished by the norm of the Killing vector constructed from the Killing spinor. If the Killing…

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

We construct new classes of supersymmetric $AdS_2\times \Sigma$ solutions, where $\Sigma=\Sigma(n_N,n_S)$ is a spindle. Such solutions can arise as the near horizon limit of supersymmetric, accelerating black holes. The solutions are…

High Energy Physics - Theory · Physics 2026-05-07 Igal Arav , Jerome P. Gauntlett , Jaeha Park , Matthew M. Roberts , Christopher Rosen

We consider the most general solutions of eleven-dimensional supergravity preserving $N=2$ supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those…

High Energy Physics - Theory · Physics 2023-05-17 Anthony Ashmore

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton…

High Energy Physics - Theory · Physics 2015-06-22 S. Sadeghian , M. M. Sheikh-Jabbari , H. Yavartanoo

We construct the first eleven-dimensional supergravity solutions, which are regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry. They are dual to four-dimensional field theories with N = 2 superconformal symmetry.…

High Energy Physics - Theory · Physics 2013-11-06 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos
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