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Related papers: Reparameterization Dependence is Useful for Hologr…

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We construct a holographic dual of the Schwinger-Keldysh effective action for the dissipative low-energy dynamics of relativistic charged matter at strong coupling in a fixed thermal background. To do so, we use a mixed signature bulk…

High Energy Physics - Theory · Physics 2019-06-26 Jan de Boer , Michal P. Heller , Natalia Pinzani-Fokeeva

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 revisit the complexity$=$action proposal for charged black holes. We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is sensitive to the ratio between electric and magnetic…

High Energy Physics - Theory · Physics 2019-03-27 Kanato Goto , Hugo Marrochio , Robert C. Myers , Leonel Queimada , Beni Yoshida

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

The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that…

High Energy Physics - Theory · Physics 2017-04-12 Hyat Huang , Xing-Hui Feng , H. Lu

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

It was recently conjectured that the quantum complexity of a holographic boundary state can be computed by evaluating the gravitational action on a bulk region known as the Wheeler-DeWitt patch. We apply this complexity=action duality to…

High Energy Physics - Theory · Physics 2017-06-15 Shira Chapman , Hugo Marrochio , Robert C. Myers

We consider the dependence of the recently proposed action/complexity duality conjecture on time and on the underlying topology of the bulk spacetime. For the former, we compute the dependence of the CFT complexity on a boundary temporal…

High Energy Physics - Theory · Physics 2018-07-13 Musema Sinamuli , Robert B. Mann

We consider a strongly coupled field theory with a critical point and nonzero chemical potential at finite temperature, which is dual to an asymptotically AdS charged black hole. We study the evolution of the rescaled holographic subregion…

High Energy Physics - Theory · Physics 2021-06-30 Mahsa Lezgi , Mohammad Ali-Akbari

We study the holographic "complexity=action'" (CA) and "complexity=volume" (CV) proposals in Einstein-dilaton gravity in all spacetime dimensions. We analytically construct an infinite family of black hole solutions and use CA and CV…

High Energy Physics - Theory · Physics 2018-12-04 Subhash Mahapatra , Pratim Roy

Entanglement, chaos, and complexity are as important for de Sitter space as for AdS and for black holes. There are similarities and great differences between AdS and dS in how these concepts are manifested in the space-time geometry. In the…

High Energy Physics - Theory · Physics 2021-11-01 Leonard Susskind

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

The gauge/string dualities have drawn attention to a class of variational problems on a boundary at infinity, which are not well defined unless a certain boundary term is added to the classical action. In the context of supergravity in…

High Energy Physics - Theory · Physics 2011-03-17 Ioannis Papadimitriou

We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it…

High Energy Physics - Theory · Physics 2018-07-04 Stefano Bolognesi , Eliezer Rabinovici , Shubho R. Roy

The holographic complexity has been studied in a background which includes a critical point in the dual field theory. We have examined how the complexity rate and the saturation time of dynamical variables in the theory behave as one moves…

High Energy Physics - Theory · Physics 2019-10-02 H. Ebrahim , M. Asadi , M. Ali-Akbari

Recent developments in static patch holography proposed that quantum gravity in de Sitter space admits a dual description in terms of a quantum mechanical theory living on a timelike surface near the cosmological horizon. In parallel,…

High Energy Physics - Theory · Physics 2024-08-16 Stefano Baiguera , Rotem Berman

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

We construct the holographic dual of an electrically charged, localised defect in a conformal field theory at strong coupling, by applying a spatially dependent chemical potential. We find that the IR behaviour of the spacetime depends on…

High Energy Physics - Theory · Physics 2015-06-23 Gary T. Horowitz , Nabil Iqbal , Jorge E. Santos , Benson Way

Reparameterization invariance, a symmetry of heavy quark effective theory, appears in different forms in the literature. The most commonly cited forms of the reparameterization transformation are shown to induce the same constraints on…

High Energy Physics - Phenomenology · Physics 2009-09-11 Markus Finkemeier , Howard Georgi , Matt McIrvin

We use the conditional symmetry approach to study the $r$-evolution of a minisuperspace spherically symmetric model both at the classical and quantum level. After integration of the coordinates $t$, $\theta$ and $\phi$ in the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-17 T. Christodoulakis , N. Dimakis , Petros A. Terzis , Babak Vakili , E. Melas , Th. Grammenos