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In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy…

高能物理 - 理论 · 物理学 2010-04-06 Ashoke Sen

We compute the on-shell action of static, BPS black holes in AdS$_4$ from ${\cal N}=2$ gauged supergravity coupled to vector multiplets and show that it is equal to minus the entropy of the black hole. Holographic renormalization is used to…

高能物理 - 理论 · 物理学 2018-04-18 Nick Halmagyi , Shailesh Lal

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…

高能物理 - 理论 · 物理学 2017-08-01 Seyed Morteza Hosseini , Kiril Hristov , Alberto Zaffaroni

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…

高能物理 - 理论 · 物理学 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

In this paper we discuss the supersymmetric localization of the 4D $\mathcal{N}=2$ off-shell gauged supergravity in the background of the $\textrm{AdS}_4$ neutral topological black hole, which is the gravity dual of the ABJM theory defined…

高能物理 - 理论 · 物理学 2021-07-02 Jun Nian , Xinyu Zhang

We analyze BPS black hole attractors in the conformal 4d gauged supergravity formalism and apply the technique known as supergravity localization in order to evaluate Sen's quantum entropy function in the…

高能物理 - 理论 · 物理学 2018-08-15 Kiril Hristov , Ivano Lodato , Valentin Reys

Recently, entropy of static supersymmetric black holes in $AdS_6$ was microscopically counted by the topologically twisted index of five-dimensional superconformal field theories. However, the AdS/CFT dictionary states that the partition…

高能物理 - 理论 · 物理学 2021-02-17 Minwoo Suh

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS$_5$ black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then…

高能物理 - 理论 · 物理学 2020-01-08 Alejandro Cabo-Bizet , Davide Cassani , Dario Martelli , Sameer Murthy

We present a counting of microstates of a class of dyonic BPS black holes in AdS$_4$ which precisely reproduces their Bekenstein-Hawking entropy. The counting is performed in the dual boundary description, that provides a non-perturbative…

高能物理 - 理论 · 物理学 2024-02-16 Francesco Benini , Kiril Hristov , Alberto Zaffaroni

We analyze stationary BPS black hole solutions to 4d $\mathcal{N}=2$ abelian gauged supergravity. Using an appropriate near horizon ansatz, we construct rotating attractors with magnetic flux realizing a topological twist along the horizon…

高能物理 - 理论 · 物理学 2019-10-09 Kiril Hristov , Stefanos Katmadas , Chiara Toldo

In this paper we elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole…

高能物理 - 理论 · 物理学 2008-11-26 Rong-Gen Cai , Li-Ming Cao

This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes…

高能物理 - 理论 · 物理学 2016-05-17 Francesco Benini , Kiril Hristov , Alberto Zaffaroni

We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the ${\rm SU(3)}\times {\rm U(1)}$ invariant AdS$_4$ Warner vacuum. These black holes can be embedded in…

高能物理 - 理论 · 物理学 2018-04-04 Nikolay Bobev , Vincent S. Min , Krzysztof Pilch

We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS$_4 \times S^6$ from a microscopic counting of supersymmetric ground states in a holographically dual field theory.…

高能物理 - 理论 · 物理学 2017-11-02 Seyed Morteza Hosseini , Kiril Hristov , Achilleas Passias

We employ supersymmetric localization to determine the exact partition function of 3d $\mathcal{N}=2$ gauge theories on a background given by a round $S^2$ fibered over a circle and certain complexified background fields. The Coulomb branch…

高能物理 - 理论 · 物理学 2024-10-03 Jun Nian , Leopoldo A. Pando Zayas

We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near…

高能物理 - 理论 · 物理学 2009-11-11 Ashoke Sen

We study one-loop logarithmic corrections to the entropy of static hyperbolic BPS black holes in asymptotically AdS$_4$ spacetime. Our analysis is carried out in a consistent real-scalar truncation of ${\cal N}=2$ Fayet-Iliopoulos gauged…

高能物理 - 理论 · 物理学 2026-05-29 Imtak Jeon , Alokananda Kar , Binata Panda , Anowar Shaikh

We study extremal black hole solutions in D dimensions with near horizon geometry AdS_2\times S^{D-2} in higher derivative gravity coupled to other scalar, vector and anti-symmetric tensor fields. We define an entropy function by…

高能物理 - 理论 · 物理学 2009-11-11 Ashoke Sen

We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in $\mathcal{N}=2$, $D=4$ gauged supergravity coupled to matter. This allows one to compute the black hole entropy without solving the…

高能物理 - 理论 · 物理学 2024-12-16 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks

Using the Sen's entropy function formalism, we compute the entropy for the extremal dyonic black hole solutions of theories in the presence of dilaton field coupled to the field strength and a dilaton potential. We solve the attractor…

高能物理 - 理论 · 物理学 2016-09-07 Prieslei Goulart
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