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We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization…

High Energy Physics - Theory · Physics 2020-06-12 Gleb Aminov , Alba Grassi , Yasuyuki Hatsuda

We study a class of supersymmetric spinning particle models derived from the radial quantization of stationary, spherically symmetric black holes of four dimensional N= 2 supergravities. By virtue of the c-map, these spinning particles move…

High Energy Physics - Theory · Physics 2015-05-18 David Cherney , Emanuele Latini , Andrew Waldron

In the near-horizon region, black holes exhibit an infinite-dimensional symmetry reminiscent of the Bondi-Metzner-Sachs (BMS) supertranslations. The conserved charges associated with this symmetry can be computed in gravitational theories…

High Energy Physics - Theory · Physics 2025-06-30 Mariano Chernicoff , Gaston Giribet , Julio Oliva

We find a class of d=4, N=2 supergravity with $R^2$-interactions that admits exact BPS black holes. The prepotential contains quadratic, cubic and chiral curvature-squared terms. Black hole geometry realizes stretched horizon, and consists…

High Energy Physics - Theory · Physics 2007-05-23 Dongsu Bak , Seok Kim , Soo-Jong Rey

We use the recipe of arXiv:1003.2974 to find half-BPS near-horizon geometries in the t$^3$ model of $N=2$, $D=4$ gauged supergravity, and explicitely construct some new examples. Among these are black holes with noncompact horizons, but…

High Energy Physics - Theory · Physics 2021-10-04 Federico Faedo , Silke Klemm , Adriano Viganò

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of…

High Energy Physics - Theory · Physics 2009-11-07 Klaus Behrndt , Sergei Gukov , Marina Shmakova

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

We use localization to evaluate the functional integral of string field theory on AdS_2xS^2 background corresponding to the near horizon geometry of supersymmetric black holes in 4d compactifications with N=2 supersymmetry. In particular,…

High Energy Physics - Theory · Physics 2013-05-13 Atish Dabholkar , Joao Gomes , Sameer Murthy

Motivated by the recently proposed connection between N=2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The topological string partition function is…

High Energy Physics - Theory · Physics 2007-05-23 Erik Verlinde

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

The Gopakumar-Vafa (GV) formula expresses certain couplings that arise in Type IIA compactification to four dimensions on a Calabi-Yau manifold in terms of a counting of BPS states in M-theory. The couplings in question have applications to…

High Energy Physics - Theory · Physics 2015-01-12 Mykola Dedushenko , Edward Witten

We extend the discussion of the "Kerr/CFT correspondence" and its recent developments to the more general gauge/gravity correspondence in the full extremal black hole space-time of the bulk by using a technique of the holographic…

High Energy Physics - Theory · Physics 2009-07-30 Kyosuke Hotta

We discuss the degeneracies of 4D and 5D BPS black holes in toroidal compactifications of M-theory or type II string theory, using U-duality as a tool. We generalize the 4D/5D lift to include all charges in N=8 supergravity, and compute the…

High Energy Physics - Theory · Physics 2009-11-11 Boris Pioline

We consider two-dimensional harmonic oscillator in the complex Bargmann-Fock-Segal representation with $T^*{\mathbb R}^{2}={\mathbb C}^2$ as classical phase space. We show that the eigenfunctions $\psi_n$ of the quantum Hamiltonian…

Mathematical Physics · Physics 2026-04-28 Alexander D. Popov

Conical defects, or point particles, in AdS_3 are one of the simplest non-trivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions…

High Energy Physics - Theory · Physics 2011-06-21 Vijay Balasubramanian , Jan de Boer , Esko Keski-Vakkuri , Simon F. Ross

We apply our model of quantum gravity to an AdS black hole resulting in a wave equation in a quantum spacetime which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary…

General Relativity and Quantum Cosmology · Physics 2016-09-22 Claus Gerhardt

Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory.…

High Energy Physics - Theory · Physics 2009-10-31 C. A. R. Herdeiro

Very much as extremal Reissner-Nordst\"om BHs, D3-branes and their intersecting bound-states in lower dimensions enjoy a remarkable symmetry under conformal inversions that exchange the horizon with infinity and keep the photon-sphere…

High Energy Physics - Theory · Physics 2022-06-15 Massimo Bianchi , Giorgio Di Russo

We analyze BPS black hole attractors in 4d gauged supergravity in the presence of higher derivative supersymmetric terms, including a Weyl-squared-type action, and determine the resulting corrections to the Bekenstein-Hawking entropy. The…

High Energy Physics - Theory · Physics 2016-03-14 Kiril Hristov , Stefanos Katmadas , Ivano Lodato

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