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In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges. One relation is a new identity that solely…

High Energy Physics - Theory · Physics 2020-02-11 Gianguido Dall'Agata , Matteo Morittu

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct genuine rotating supersymmetric black holes in…

High Energy Physics - Theory · Physics 2011-07-13 Dietmar Klemm

We study the geometry of the twistor space of the universal hyperkaehler implosion Q for SU(n). Using the description of Q as a hyperkaehler quiver variety, we construct a holomorphic map from the twistor space Z_Q of Q to a complex vector…

Symplectic Geometry · Mathematics 2015-01-06 Andrew Dancer , Frances Kirwan , Andrew Swann

The usual extensions of supersymmetry require the existence of a complex structure and the formulation of the theory on K\"{a}hler manifolds. It is shown, that by relaxing the constraints on the algebra of supercharges we can get new…

High Energy Physics - Theory · Physics 2007-05-23 J. W. van Holten

We show that the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS$_5\times S^5$ can be obtained by a simple extremization principle. We expect that this extremization corresponds to the attractor…

High Energy Physics - Theory · Physics 2017-08-01 Seyed Morteza Hosseini , Kiril Hristov , Alberto Zaffaroni

We compute the entanglement entropy of a real massive scalar field near a non-rotating BTZ black hole using Thermo Field Dynamics. Modeling the black hole as a collapsing dust shell in AdS3, we derive the shell trajectory R(t) as seen by a…

General Relativity and Quantum Cosmology · Physics 2026-02-27 W. A. Rojas C. , J. R. Arenas S

We prove a correspondence, for Riemannian manifolds with self-dual Weyl tensor, between twistor functions and solutions to the Teukolsky equations for any conformal and spin weights. In particular, we give a contour integral formula for…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Bernardo Araneda

We classify all complete projective special real manifolds with reducible cubic potential, obtaining four series. For two of the series the manifolds are homogeneous, for the two others the respective automorphism group acts with…

Differential Geometry · Mathematics 2020-03-17 Vicente Cortés , Malte Dyckmanns , Michel Jüngling , David Lindemann

Let Z be a compact complex (2n+1)-manifold which carries a {\em complex contact structure}, meaning a codimension-1 holomorphic sub-bundle D of TZ which is maximally non-integrable. If Z admits a K\"ahler-Einstein metric of positive scalar…

dg-ga · Mathematics 2008-02-03 Claude LeBrun

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a…

High Energy Physics - Theory · Physics 2024-02-20 Kiril Hristov

We provide an explicit twistorial construction of quaternion-Kahler manifolds obtained by deformation of c-map spaces and carrying an isometric action of the modular group SL(2,Z). The deformation is not assumed to preserve any continuous…

High Energy Physics - Theory · Physics 2014-02-14 Sergei Alexandrov , Sibasish Banerjee

We review the macroscopic and microscopic properties of black holes of toroidally compactified heterotic and Type II string theory in dimensions 4<=D<=9. General charged rotating black hole solutions are obtained by acting on a generating…

High Energy Physics - Theory · Physics 2009-10-30 Mirjam Cvetic

By extending the method developed by Arav, Gauntlett, Roberts and Rosen, we construct supersymmetric $AdS_2\times{\Sigma}$ solutions of gauged $\mathcal{N}=8$ supergravity which are asymptotic to the $SU(3)\times{U}(1)$-invariant Warner…

High Energy Physics - Theory · Physics 2024-05-30 Minwoo Suh

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Waldemar Berej , Jerzy Matyjasek

We study the large $ N$ sign oscillation of the twisted indices for 3D theories of class $\mathcal{R}$ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the…

High Energy Physics - Theory · Physics 2021-06-30 Sunjin Choi , Dongmin Gang , Nakwoo Kim

Using superspace techniques we construct the general theory describing D=4, N=2 supergravity coupled to an arbitrary number of vector and scalar--tensor multiplets. The scalar manifold of the theory is the direct product of a special…

High Energy Physics - Theory · Physics 2008-11-26 Riccardo D'Auria , Gianguido Dall'Agata , Luca Sommovigo , Silvia Vaula'

Using a quaternionic formulation of the moduli space $\boldsymbol{M}({\small IIA/K3}) $ of 10D type IIA superstring on a generic K3 complex surface with volume $\boldsymbol{V}_{0}$, we study extremal $\mathcal{N}=2$ black attractors in 6D…

High Energy Physics - Theory · Physics 2008-11-26 A. Belhaj , L. B. Drissi , E. H. Saidi , A. Segui

A comprehensive analysis is presented based exclusively on near-horizon data to determine the attractor equations and the entropy of BPS black holes and rings in five space-time dimensions, for a Lagrangian invariant under eight…

High Energy Physics - Theory · Physics 2015-05-14 Bernard de Wit , Stefanos Katmadas

We construct general static black hole configuration for the theory of N=2, d=5 supergravity coupled to an arbitrary number of Abelian vector multiplets. The underlying very special geometry structure plays a major role in this…

High Energy Physics - Theory · Physics 2008-11-26 W. A. Sabra

Supersymmetric black holes in AdS spacetime are inherently interesting for the AdS/CFT correspondence. Within a four dimensional gauged supergravity theory coupled to vector multiplets, the only analytic solutions for regular,…

High Energy Physics - Theory · Physics 2015-06-18 Alessandra Gnecchi , Nick Halmagyi