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We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries…

High Energy Physics - Theory · Physics 2019-05-29 Musema Sinamuli , Robert B. Mann

We explore the generalized holographic complexity of odd-dimensional Myers-Perry asymptotically Anti-de Sitter (MP-AdS) black holes with equal angular momenta within the ``complexity equals anything'' proposal. We begin by determining the…

High Energy Physics - Theory · Physics 2024-09-16 Ming Zhang , Jia-Long Sun , Robert B. Mann

We investigate the quasi-local thermodynamics of rotating Kerr-AdS black holes enclosed by a finite timelike boundary (cavity). Extending recent work on static systems, we define the holographic pressure and volume via the trace of the…

High Energy Physics - Theory · Physics 2026-02-24 Hoang Van Quyet

We investigate a large-$N$ CFT in a high-energy pure state coupled to a small auxiliary system of $M$ weakly-interacting degrees of freedom, and argue the relative state complexity of the auxiliary system is holographically dual to an…

High Energy Physics - Theory · Physics 2020-07-28 Alexander Yosifov , Aditya Iyer , Lachezar Filipov

The fact that AdS black hole interior geometries are time-dependent presents two challenges: first, to holographic duality (the boundary matter tends to equilibrate, often very quickly), and, second, to the idea that wormholes can be…

High Energy Physics - Theory · Physics 2023-11-23 Brett McInnes

We study the evolution of holographic complexity in various AdS/CFT models containing cosmological crunch singularities. We find that a notion of complexity measured by extremal bulk volumes tends to decrease as the singularity is…

High Energy Physics - Theory · Physics 2016-02-17 Jose L. F. Barbon , Eliezer Rabinovici

We study the holographic complexity conjectures for rotating black holes, uncovering a relationship between the complexity of formation and the thermodynamic volume of the black hole. We suggest that it is the thermodynamic volume and not…

High Energy Physics - Theory · Physics 2021-03-17 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is…

High Energy Physics - Theory · Physics 2020-04-22 Jie Jiang , Zhaohui Chen , Chengcheng Liu

In this work, we relate the growth rate of Krylov complexity in the boundary to the radial momentum of an infalling particle in AdS geometry. We show that in general AdS black hole background, our proposal captures the universal behaviors…

High Energy Physics - Theory · Physics 2024-11-14 Zhong-Ying Fan

In this paper, we delve into the study of thermodynamics and phase transition of charged Gauss-Bonnet black holes within the context of anti-de Sitter (AdS) space, with particular emphasis on the central charge's role within the dual…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Jafar Sadeghi , Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti

We study the hololgraphic dual of the extended thermodynamics of spherically symmetric, charged AdS black holes in the context of the AdS/CFT correspondence. The gravitational thermodynamics of AdS black holes can be extended by allowing…

High Energy Physics - Theory · Physics 2022-09-07 Wan Cong , David Kubiznak , Robert Mann , Manus Visser

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions. We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the…

High Energy Physics - Theory · Physics 2018-12-05 Josiah Couch , Stefan Eccles , Ted Jacobson , Phuc Nguyen

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black…

High Energy Physics - Theory · Physics 2020-10-28 Ahmad Ghodsi , Saeed Qolibikloo , Saman Karimi

We explore the two holographic complexity proposals for the case of a 2d boundary CFT with a conformal defect. We focus on a Randall-Sundrum type model of a thin AdS$_2$ brane embedded in AdS$_3$. We find that, using the "complexity=volume"…

High Energy Physics - Theory · Physics 2019-06-05 Shira Chapman , Dongsheng Ge , Giuseppe Policastro

We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in $CFT_{1+1}$s dual to non static bulk $AdS_3$ geometries. Utilizing our proposal…

High Energy Physics - Theory · Physics 2024-03-12 Jaydeep Kumar Basak , Himanshu Parihar , Boudhayan Paul , Gautam Sengupta

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding…

High Energy Physics - Theory · Physics 2024-03-26 Yahya Ladghami , Taoufik Ouali

The Einstein-Maxwell-Axion-Dilaton (EMAD) theories, based on the Gubser-Rocha (GR) model, are very interesting in holographic calculations of strongly correlated systems in the condensed matter physics. Due to the presence of spatially…

High Energy Physics - Theory · Physics 2022-05-18 H. Babaei-Aghbolagh , Davood Mahdavian Yekta , Komeil Babaei Velni , H. Mohammadzadeh

We use the complexity = action (CA) conjecture to study the full-time dependence of holographic complexity in anisotropic black branes. We find that the time behaviour of holographic complexity of anisotropic systems shares a lot of…

High Energy Physics - Theory · Physics 2019-09-10 Seyed Ali Hosseini Mansoori , Viktor Jahnke , Mohammad M. Qaemmaqami , Yaithd D. Olivas

Using the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This computation is done perturbatively to second order. We give a general result and…

High Energy Physics - Theory · Physics 2019-06-11 Mario Flory , Nina Miekley

In this note, we describe a holographic CFT construction of states dual to scalar perturbations of the maximally extended three-dimensional AdS-Schwarzschild black hole. The states are constructed by adding sources for a scalar operator to…

High Energy Physics - Theory · Physics 2022-04-27 Hong Zhe Chen , Mark Van Raamsdonk