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Related papers: Momentum-Krylov complexity correspondence

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The AdS/CFT dual description of a peripheral heavy ion collision involves an asymptotically AdS rotating black hole. The explicitly known black holes of this kind, with planar event horizon topology [the "KMV$_0$" spacetimes], have been…

High Energy Physics - Theory · Physics 2015-06-05 Brett McInnes

We compute the holographic Krylov complexity for a class of strongly coupled QFTs in a top down approach, where the dual gravitational counterpart corresponds to Yang-Baxter (YB) deformed supergravity solutions in a type IIB set up. The…

High Energy Physics - Theory · Physics 2026-01-13 Dibakar Roychowdhury

Building on the pioneering work of \cite{Caputa:2024sux}, we propose a holographic description of spread complexity and its rate in 2D CFTs. By exploiting $SL(2,\mathbb{R})$ symmetry, we explicitly construct the Krylov basis, expressing…

High Energy Physics - Theory · Physics 2026-04-01 Zhehan Li , Jia Tian

We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ…

High Energy Physics - Theory · Physics 2009-11-11 Lorenzo Cornalba , Miguel S. Costa

The holographic complexity conjectures are considered in a Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal. Specifically, we calculate the growth rate of complexity for an eternal charged AdS-dilaton black holes…

High Energy Physics - Theory · Physics 2020-07-21 Ai-chen Li

The aim of this letter is to study the universal thermodynamics and criticality of charged AdS black holes with string clouds in the bulk and in the boundary conformal field theory (CFT). For this system, we determined the critical…

High Energy Physics - Theory · Physics 2025-04-30 Aditya Singh , Sandip Mahish

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to…

High Energy Physics - Theory · Physics 2023-02-08 Ming Zhang , Chaoxi Fang , Jie Jiang

Recently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we…

General Relativity and Quantum Cosmology · Physics 2016-09-30 Rong-Gen Cai , Shan-Ming Ruan , Shao-Jiang Wang , Run-Qiu Yang , Rong-Hui Peng

This paper investigates the notion of Krylov complexity, a measure of operator growth, within the framework of 1-matrix quantum mechanics (1-MQM). Krylov complexity quantifies how an operator evolves over time by expanding it in a series of…

Quantum Physics · Physics 2024-10-08 Niloofar Vardian

We study the holographic spread/Krylov complexity of operators with non-trivial internal structure and of genuinely extended operators. We first consider a massive particle in AdS$_5\times S^5$ carrying conserved $R$-charge, and show how…

High Energy Physics - Theory · Physics 2026-04-10 Horatiu Nastase , Carlos Nunez , Dibakar Roychowdhury

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

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 consider a three-dimensional rotating Ho\v{r}ava AdS black hole, that corresponds to a Lorentz-violating version of the BTZ black hole and we analyze the effect of the breaking of Lorentz invariance on the possibility that the black hole…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Ramón Bécar , P. A. González , Yerko Vásquez

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

In this note, we consider particle falling in the black hole with an additional potential. Following the proposal by Susskind \cite{Susskind:2018tei}, we study the growth rate of the particle's Rindler momentum, which corresponds to the…

High Energy Physics - Theory · Physics 2020-02-28 Zhenhua Zhou , Jian-Pin Wu

Krylov complexity, as a novel measure of operator complexity under Heisenberg evolution, exhibits many interesting universal behaviors and also bounds many other complexity measures. In this work, we study Krylov complexity $\mathcal{K}(t)$…

High Energy Physics - Theory · Physics 2024-01-01 Haifeng Tang

Motivated by the effect of the energy of moving particles in $C-$metric, we first obtain exact accelerating black hole solutions in gravity's rainbow. Then, we study the effects of gravity's rainbow and $C-$metric parameters on the Ricci…

General Relativity and Quantum Cosmology · Physics 2024-03-18 B. Eslam Panah , S. Zare , H. Hassanabadi

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In…

High Energy Physics - Theory · Physics 2010-11-19 D. S. Berman , Maulik K. Parikh

Lovelock theory provides a tractable model of higher-curvature gravity in which several questions can be studied analytically. This is the reason why, in the last years, this theory has become the favorite arena to study the effects of…

High Energy Physics - Theory · Physics 2016-07-20 Mariano Chernicoff , Mario Galante , Gaston Giribet , Andres Goya , Matias Leoni , Julio Oliva , Guillem Perez-Nadal

In this paper, we study the Krylov complexity ($K$) from the planar/inflationary patch of the de Sitter space using the two mode squeezed state formalism in the presence of an effective field having sound speed $c_s$. From our analysis, we…

High Energy Physics - Theory · Physics 2023-06-09 Kiran Adhikari , Sayantan Choudhury