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We use the complexity equals action proposal to calculate the rate of complexity growth for field theories that are the holographic duals of asymptotically flat spacetimes. To this aim, we evaluate the on-shell action of asymptotically flat…

High Energy Physics - Theory · Physics 2018-08-15 Reza Fareghbal , Pedram Karimi

In recent years, many interesting works providing a topological description for black hole (BH) properties have appeared in the literature. In particular, in this framework BHs correspond to topological defects in an enlarged (off-shell)…

High Energy Physics - Theory · Physics 2026-05-04 Nelson R. F. Braga , William S. Cunha

We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity = volume" proposal. The model is constructed using multiboundary wormhole geometries in…

High Energy Physics - Theory · Physics 2021-12-15 Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra

We investigate the holographic complexity of CFTs compactified on a circle with a Wilson line, dual to magnetized solitons in AdS$_4$ and AdS$_5$. These theories have a confinement-deconfinement phase transition as a function of the Wilson…

High Energy Physics - Theory · Physics 2024-03-01 Jiayue Yang , Andrew R. Frey

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

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

Complexity in strongly correlated electron systems is analyzed by considering decoherence process between the localized state, |L> and the itinerant state, |I>. The coherent superposition state of a|I> + b|L> decoheres to the pointer states…

Strongly Correlated Electrons · Physics 2011-01-04 Byung Gyu Chae

Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational concept in computer science. Determining circuit complexity is believed to be a hard computational problem…

Statistical Mechanics · Physics 2025-07-08 Claudio Chamon , Andrei E. Ruckenstein , Eduardo R. Mucciolo , Ran Canetti

In this paper, we have studied the holographic subregion complexity for boosted black brane for strip like subsystem. The holographic subregion complexity has been computed for a subsystem chosen along and perpendicular to the boost…

High Energy Physics - Theory · Physics 2019-07-29 Sourav Karar , Rohit Mishra , Sunandan Gangopadhyay

Does gravity constrain computation? We study this question using the AdS/CFT correspondence, where computation in the presence of gravity can be related to non-gravitational physics in the boundary theory. In AdS/CFT, computations which…

Quantum Physics · Physics 2022-11-30 Alex May

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we…

High Energy Physics - Theory · Physics 2017-04-13 Josiah Couch , Willy Fischler , Phuc H. Nguyen

We make comments on some shortcomings of the non-unitary-invariant and non-bi-invariant complexity in quantum mechanics/field theory and argue that the unitary-invariant and bi-invariant complexity is still a competitive candidate in…

High Energy Physics - Theory · Physics 2019-06-14 Run-Qiu Yang , Yu-Sen An , Chao Niu , Cheng-Yong Zhang , Keun-Young Kim

Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole $S$-matrix, which are in principle accessible to observers who stay…

High Energy Physics - Theory · Physics 2023-03-01 Isaac H. Kim , John Preskill

When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space $A$ and…

High Energy Physics - Theory · Physics 2008-11-26 Matthew Headrick , Tadashi Takayanagi

This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes…

High Energy Physics - Theory · Physics 2016-05-17 Francesco Benini , Kiril Hristov , Alberto Zaffaroni

We study the analytic structure of the heavy-heavy-light-light holographic correlators in the supergravity approximation of the AdS$_3 \times S^3$/CFT$_2$ duality. As an explicit example, we derive the correlator where the heavy operator is…

High Energy Physics - Theory · Physics 2023-11-09 Stefano Giusto , Cristoforo Iossa , Rodolfo Russo

We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen's geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we…

High Energy Physics - Theory · Physics 2018-10-10 Minyong Guo , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

For the example of the SiC(111)-(3x3) reconstruction we show that a holographic interpretation of discrete Low Energy Electron Diffraction (LEED) spot intensities arising from ordered, large unit cell superstructures can give direct access…

Materials Science · Physics 2009-10-31 K. Reuter , J. Schardt , J. Bernhardt , H. Wedler , U. Starke , K. Heinz

We describe two puzzles that arise from a semiclassical treatment of near-extremal black hole thermodynamics. Both puzzles are resolved by realizing that quantum corrections become arbitrarily large at low temperatures, and we explain how…

High Energy Physics - Theory · Physics 2023-07-21 Gustavo J. Turiaci

We study a minimally coupled charged scalar field in a charged Lifshitz background. For z=2, we find an analytic expression for the corresponding low energy retarded Green's function. Unlike the RN-AdS case, the position of the superfluid…

High Energy Physics - Theory · Physics 2013-04-23 M. Reza Mohammadi Mozaffar , Ali Mollabashi