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The holographic complexity of a 3+1-dimensional Lifshitz spacetime having a scaling symmetry is computed. The change in the holographic complexity between the excited state and the ground state is then obtained. This is then related to the…

High Energy Physics - Theory · Physics 2018-07-31 Sourav Karar , Sunandan Gangopadhyay

For chaotic quantum dynamics modeled by random unitary circuits, we study the complexity of reduced density matrices of subsystems as a function of evolution time where the initial global state is a product pure state. The state complexity…

Quantum Physics · Physics 2026-04-30 Jeongwan Haah , Douglas Stanford

Motivated by $T{\overline T}$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with…

High Energy Physics - Theory · Physics 2019-01-30 Amin Akhavan , Mohsen Alishahiha , Ali Naseh , Hamed Zolfi

Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related to certain geometric observables in the dual gravity theory. We study this…

High Energy Physics - Theory · Physics 2024-12-13 Marius Gerbershagen , Juan Hernandez , Mikhail Khramtsov , Maria Knysh

This paper characterizes the annealed, topological complexity (both of total critical points and of local minima) of the elastic manifold. This classical model of a disordered elastic system captures point configurations with…

Probability · Mathematics 2021-05-12 Gérard Ben Arous , Paul Bourgade , Benjamin McKenna

We analyze the holographic subregion complexity in a $3d$ black hole with the vector hair. This $3d$ black hole is dual to a $1+1$ dimensional $p$-wave superconductor. We probe the black hole by changing the size of the interval and by…

High Energy Physics - Theory · Physics 2019-07-12 Mitsutoshi Fujita

This work is an extension of our previous work [1] where we exploited holography to compute the complexity characteristics of Little String Theory (LST), a nonlocal, nongravitational field theory which flows to a local 2d CFT in the IR…

High Energy Physics - Theory · Physics 2022-11-09 Gaurav Katoch , Swejyoti Mitra , Shubho R. Roy

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Chong Oh Lee

The rising complexity of our terrestrial surrounding is an empirical fact. Details of this process evaded description in terms of physics for long time attracting attention and creating myriad of ideas including non-scientific ones. In this…

Popular Physics · Physics 2017-03-10 Michal Mandrysz , Jakub Mielczarek

In this paper, we will compute the holographic complexity (dual to a volume in AdS), holographic fidelity susceptibility and the holographic entanglement entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is dual…

High Energy Physics - Theory · Physics 2018-06-07 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

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

We refine the calculation of holographic complexity of black holes in the complexity equals action approach by applying the recently introduced criterion that the action of any causal diamond in static vacuum regions must vanish…

High Energy Physics - Theory · Physics 2022-09-13 Ayoub Mounim , Wolfgang Mück

It is conjectured that the average energy provides an upper bound on the rate at which the complexity of a holographic boundary state grows. In this paper, we perturb a holographic CFT by a relevant operator with a time-dependent coupling,…

High Energy Physics - Theory · Physics 2018-05-30 Mudassir Moosa

We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating…

High Energy Physics - Theory · Physics 2016-05-12 Adam R. Brown , Daniel A. Roberts , Leonard Susskind , Brian Swingle , Ying Zhao

In this work, we continue our study of string theory in the background that interpolates between $AdS_3$ in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT$_2$ in the IR to a…

High Energy Physics - Theory · Physics 2021-04-06 Soumangsu Chakraborty , Gaurav Katoch , Shubho R. Roy

We study Nielsen's circuit complexity for a charged thermofield double state (cTFD) of free complex scalar quantum field theory in the presence of background electric field. We show that the ratio of the complexity of formation for cTFD…

High Energy Physics - Theory · Physics 2020-02-05 Mehregan Doroudiani , Ali Naseh , Reza Pirmoradian

We consider the universal sector of a $d$-dimensional large-$N$ strongly-interacting holographic CFT on a black hole spacetime background $B$. When our CFT$_d$ is coupled to dynamical Einstein-Hilbert gravity with Newton constant $G_{d}$,…

High Energy Physics - Theory · Physics 2016-06-15 William Bunting , Zicao Fu , Donald Marolf

We explore the phase structure of a holographic toy model of superfluid states in non-relativistic conformal field theories. At low background mass density, we find a familiar second-order transition to a superfluid phase at finite…

High Energy Physics - Theory · Physics 2015-03-19 Allan Adams , Juven Wang

We study holographically the out of equilibrium dynamics of a finite size closed quantum system in 2+1 dimensions, modelled by the collapse of a shell of a massless scalar field in AdS4. In global coordinates there exists a variety of…

High Energy Physics - Theory · Physics 2015-06-19 Javier Abajo-Arrastia , Emilia da Silva , Esperanza Lopez , Javier Mas , Alexandre Serantes

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
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