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In the study of "holographic complexity", upper bounds on the rate of growth of the (specific) complexity of field theories with holographic duals have attracted much attention. Underlying these upper bounds there are inequalities relating…

High Energy Physics - Theory · Physics 2019-05-03 Brett McInnes

This thesis develops recent work on the so called Volume-Complexity and Action-Complexity conjectures. According to this family of proposals, geometric quantities can be defined in some holographic gravitational theories that can be mapped…

High Energy Physics - Theory · Physics 2022-09-13 Javier Martin-Garcia

The AdS/CFT correspondence relates certain strongly coupled CFTs with large effective central charge $c_\text{eff}$ to semi-classical gravitational theories with AdS asymptotics. We describe recent progress in understanding gravity duals…

High Energy Physics - Theory · Physics 2014-03-05 Donald Marolf , Mukund Rangamani , Toby Wiseman

The nonextremal Kerr black holes have been considered to be holographically dual to two-dimensional (2D) conformal field theories (CFTs). In this paper, we extend the holography to the case of an asymptotically anti--de Sitter (AdS)…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Canisius Bernard , Masoud Ghezelbash

The area law of Bekenstein-Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that a large class of rotating and charged black holes could be…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Bin Chen , Jia-ju Zhang

We study the holographic superconductors in f(R) gravity, and show how the critical temperature and the condensate of the dual operator depend on the modifications to Einstein gravity. We first review the black holes with constant…

General Relativity and Quantum Cosmology · Physics 2014-02-24 Zhao Xue , Sheng-liang Cui

Quantum complexity has already shed light on CFT states dual to bulk geometries containing spacelike singularities \cite{Barbon:2015ria, Bolognesi:2018ion, Caputa:2021pad}. In this work, we turn our attention to quantum complexity of…

High Energy Physics - Theory · Physics 2024-04-09 Gaurav Katoch , Jie Ren , Shubho R. Roy

Within the framework of braneworld holography, we construct a quantum charged black hole localized on a three-dimensional anti-de Sitter (AdS) brane that intersects the asymptotic boundary of the four-dimensional AdS spacetime at the…

High Energy Physics - Theory · Physics 2024-08-16 Yiji Feng , Hao Ma , Robert B. Mann , Yesheng Xue , Ming Zhang

We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity--Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth…

High Energy Physics - Theory · Physics 2018-11-21 Yu-Sen An , Rong-Gen Cai , Yuxuan Peng

In this paper we consider the maximal volume and the action, which are conjectured to be gravity duals of the complexity, in the black hole geometries with end of the world branes. These geometries are duals of boundary states in CFTs which…

High Energy Physics - Theory · Physics 2020-03-18 Tokiro Numasawa

We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1+1)$-dimensional conformal field theories in the $AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica technique results…

High Energy Physics - Theory · Physics 2018-06-06 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

We study a holographic construction of quantum rotating BTZ black holes that incorporates the exact backreaction from strongly coupled quantum conformal fields. It is based on an exact four-dimensional solution for a black hole localized on…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Antonia Micol Frassino , Benson Way

In this article, we study the complexity growth rate for Banados Teitlboim Zanelli, Schwarzschild, Reissner Nordstrom, and Kerr black holes using complexity-volume (CV) and complexity-action (CA) dualities and verify that it is proportional…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Suraj Maurya , Sashideep Gutti , Rahul Nigam , Swastik Bhattacharya

We advance a covariant construction for the holographic odd entanglement entropy (OEE) of time dependent bipartite states in CFT$_2$s dual to bulk AdS$_3$ geometries. In this context we obtain the OEE for bipartite states in zero, finite…

High Energy Physics - Theory · Physics 2025-06-23 Saikat Biswas , Ankur Dey , Boudhayan Paul , Gautam Sengupta

We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in $(1+1)$ dimensional conformal field theories ($CFT_{1+1}$) dual to bulk non static $AdS_3$ geometries.…

High Energy Physics - Theory · Physics 2019-07-16 Vinay Malvimat , Sayid Mondal , Boudhayan Paul , Gautam Sengupta

Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for…

High Energy Physics - Theory · Physics 2019-02-20 Xing-Hui Feng , Hai-Shan Liu

We show that there exists a holographic 2D CFT description of a Kerr-Bolt-AdS-dS spacetime. We first consider the wave equation of a massless scalar field propagating in extremal Kerr-Bolt-AdS-dS spacetimes and find in the "near region",…

High Energy Physics - Theory · Physics 2011-03-31 B. Chen , A. M. Ghezelbash , V. Kamali , M. R. Setare

We compute the phase shift of a highly energetic particle traveling in the background of an asymptotically AdS black hole. In the dual CFT, the phase shift is related to a four point function in the Regge limit. The black hole mass is…

High Energy Physics - Theory · Physics 2019-06-12 Manuela Kulaxizi , Gim Seng Ng , Andrei Parnachev

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials $v$ conjugate to momenta, one can access and study the Carroll regime…

High Energy Physics - Theory · Physics 2025-03-27 Georgios Poulias , Stefan Vandoren