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We solve the Killing spinor equations of supersymmetric IIB backgrounds which admit one supersymmetry and the Killing spinor has stability subgroup G_2 in Spin(9,1) x U(1). We find that such backgrounds admit a time-like Killing vector…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , J. Gutowski , G. Papadopoulos

We elaborate further on the static supersymmetric AdS_4 black holes found in arXiv:0911.4926, investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged supergravity in the presence of Fayet-Iliopoulos terms. We…

High Energy Physics - Theory · Physics 2015-05-20 Kiril Hristov , Stefan Vandoren

We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that $AdS_n\times_w M^{10-n}$ preserve $2^{[{n\over2}]} k$ for $n\leq 4$…

High Energy Physics - Theory · Physics 2015-10-28 S. Beck , J. B. Gutowski , G. Papadopoulos

We develop a new approach to find asymptotic symmetries in general relativity as a modification of the Lie-algebra-based approach proposed in T. Tomitsuka et al. [Classical Quantum Gravity 38, 225007 (2021)]. Those authors proposed an…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Takeshi Tomitsuka , Koji Yamaguchi

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 investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show…

High Energy Physics - Theory · Physics 2012-09-28 Paul de Medeiros

The invariance under unitary representations of the conformal group SL(2,R) of a quantum particle is rigorously investigated in two-dimensional spacetimes containing Killing horizons using DFF model. The limit of the near-horizon…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. Moretti , N. Pinamonti

We determine the geometry of all static black hole horizons of M-theory preserving at least one supersymmetry. We demonstrate that all such horizons are either warped products R^{1,1} *_w S or AdS_2 *_w S, where S admits an appropriate…

High Energy Physics - Theory · Physics 2015-05-28 J. Gutowski , G. Papadopoulos

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

We construct and study the supersymmetry properties of the weighted projective spaces $\mathbb{WCP}^2$ and $\mathbb{WCP}^3$. These are topologically $\mathbb{CP}^n$ with $n+1$ orbifold singularities and as such are higher dimensional…

High Energy Physics - Theory · Physics 2025-12-02 Andrea Conti , Niall T. Macpherson

We study hidden symmetries, the symmetries associated with the Killing tensors, of the near horizon geometry of odd-dimensional Kerr-AdS-NUT black hole in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting…

High Energy Physics - Theory · Physics 2018-10-19 Saeedeh Sadeghian

In $F(4)$ gauged supergravity in six dimensions, we study supersymmetric $AdS_6$ black holes with various horizon geometries. We find a new $AdS_2\,\times\,\Sigma_{\mathfrak{g}_1}\times\Sigma_{\mathfrak{g}_2}$ horizon solution with…

High Energy Physics - Theory · Physics 2019-01-30 Minwoo Suh

We start a systematic investigation of possible isometries of the asymptotically de Sitter solutions to Einstein equations. We reformulate the Killing equation as conformal equations for the initial data at $\mathcal{I}^+$. This allows for…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Wojciech Kamiński , Maciej Kolanowski , Jerzy Lewandowski

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

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of $G_2$ holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are…

High Energy Physics - Theory · Physics 2013-06-24 Huiquan Li

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 define the notion of a Killing (super)algebra for a connection on a spinor bundle associated to a generalised spin structure on a pseudo-Riemannian manifold of any signature. We are led naturally to include in the even subspace not only…

Differential Geometry · Mathematics 2025-11-12 Andrew D. K. Beckett

In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2, AdS_4 supergravity to N=2 supergravity on a locally AdS_3 boundary. Our boundary theory enjoys OSp(2|2) x SO(1,2) invariance…

High Energy Physics - Theory · Physics 2020-05-20 L. Andrianopoli , B. L. Cerchiai , R. D'Auria , M. Trigiante

We examine the supersymmetry of classical D-brane and M-brane configurations and explain the dependence of Killing spinors on coordinates. We find that one half supersymmetry is broken in the bulk and that supersymmetry near the D-brane…

High Energy Physics - Theory · Physics 2016-08-25 R. Kallosh , J. Kumar