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Related papers: Volume complexity for Janus $\mathrm{AdS}_3$ geome…

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In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of…

High Energy Physics - Theory · Physics 2019-07-31 Zhong-Ying Fan , Minyong Guo

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we…

High Energy Physics - Theory · Physics 2017-04-13 Josiah Couch , Willy Fischler , Phuc H. Nguyen

We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that…

High Energy Physics - Theory · Physics 2008-12-18 Per Kraus

The AdS/CFT correspondence is established for the AdS_3 space compactified on a solid torus with the CFT field on the boundary. Correlation functions that correspond to the bulk theory at finite temperature are obtained in the…

High Energy Physics - Theory · Physics 2008-11-26 L. Chekhov

Understanding how the thermodynamic properties of a black hole are modified when probed by D-branes is an important problem in AdS/CFT. This work focuses on a recently proposed black hole/D3-brane system in AdS$_5\times$S$^5$, which is dual…

High Energy Physics - Theory · Physics 2023-12-21 Alejandro Cabo-Bizet , Marina David , Alfredo González Lezcano

In the framework of the static patch approach to de Sitter holography introduced in [arXiv:2109.14104], the growth of holographic complexity has a hyperfast behaviour, which leads to a divergence in a finite time. This is very different…

High Energy Physics - Theory · Physics 2023-07-19 Roberto Auzzi , Giuseppe Nardelli , Gabriel Pedde Ungureanu , Nicolo Zenoni

In this paper we compute the holographic boundary entropy for half-BPS Janus deformations of the $AdS_3\times S^3\times T^4$ vacuum of type IIB supergravity. Previous work \cite{Chiodaroli:2009yw} has shown that there are two independent…

High Energy Physics - Theory · Physics 2014-11-21 Marco Chiodaroli , Michael Gutperle , Ling-Yan Hung

We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS$_3$ in Poincar\'e coordinates leads to an extremal 2D black hole in JT gravity coupled to a…

High Energy Physics - Theory · Physics 2021-12-01 Evita Verheijden , Erik Verlinde

Despite the archetypal status of the BTZ background in quantifying quantum aspects of black holes, several features at low temperatures remain imprecise and incomplete. Here, we systematically investigate the behaviour of the Euclidean path…

High Energy Physics - Theory · Physics 2026-04-29 Adam Bac , Alejandra Castro , Diksha Jain

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

We investigate emergent holography of weakly coupled two-dimensional hyperK\"ahler sigma model on cotangent bundle of (N-1)-dimensional complex projective space at zero and finite temperature. The sigma model is motivated by the spacetime…

High Energy Physics - Theory · Physics 2009-11-11 Soo-Jong Rey , Yasuaki Hikida

The holographic complexity of a static spherically symmetric black hole, defined as the volume of an extremal surface, grows linearly with time at late times in general relativity. The growth comes from a region at a constant transverse…

High Energy Physics - Theory · Physics 2025-08-11 Friðrik Freyr Gautason , Vyshnav Mohan , Lárus Thorlacius

It has been proposed that quantum complexity is dual to the volume of the extremal surface, the action of the Wheeler-DeWitt patch, and the spacetime volume of the patch. Recently, a generalized volume-complexity observable was formulated…

High Energy Physics - Theory · Physics 2023-11-27 Xuanhua Wang , Ran Li , Jin Wang

In this paper, we study the thermodynamic behavior of charged AdS black holes in higher-dimensional spacetimes within the framework of conformal holographic extended thermodynamics. This formalism is based on a novel AdS/CFT dictionary in…

High Energy Physics - Theory · Physics 2025-10-31 Yahya Ladghami , Taoufik Ouali

We present results from a numerical study of rotating black hole formation in 3-dimensional asymptotically anti-de Sitter (AdS) spacetime, focusing on the structure of the black hole interior. While black holes in $AdS_3$ are of theoretical…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Alex Pandya , Frans Pretorius

BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us for…

High Energy Physics - Theory · Physics 2017-04-26 S. H. Hendi , S. Panahiyan , S. Upadhyay , B. Eslam Panah

In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Ba\~{n}ados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de…

General Relativity and Quantum Cosmology · Physics 2023-01-02 B. Hamil , B. C. Lütfüoğlu , L. Dahbi

We construct asymptotically AdS$_3 \times$S$^3 \times$T$^4$ black holes that are localized on the S$^3$ and co-exist with the BTZ black hole at small positive energies. These black holes dominate the microcanonical ensemble for $ E\leq…

High Energy Physics - Theory · Physics 2024-12-04 Iosif Bena , Raphaël Dulac , Pierre Heidmann , Zixia Wei

In this article we extend the variational technique for maximal volume estimation of a black hole developed by Christodoulou and Rovelli (CR) to the case of a charged BTZ black hole in 2+1 dimensions. The technique involves a study of the…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Suraj Maurya , Sashideep Gutti , Rahul Nigam

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of…

High Energy Physics - Theory · Physics 2020-02-12 Roberto Auzzi , Stefano Baiguera , Andrea Legramandi , Giuseppe Nardelli , Pratim Roy , Nicolo Zenoni