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This paper defines a complexity between states in quantum field theory by introducing a Finsler structure based on ladder operators (the generalization of creation and annihilation operators). Two simple models are shown as examples to…

High Energy Physics - Theory · Physics 2018-03-09 Run-Qiu Yang

Holographic dark energy cosmology, also known as entropic cosmology, provides a concrete physical understanding of the late accelerated expansion of the universe. The acceleration appears to be a consequence of entropy associated with…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Facundo Abaca , Dario Javier Zamora

In this paper we consider the maximal volume and the action, which are conjectured to be gravity duals of the complexity, in the black hole geometries with end of the world branes. These geometries are duals of boundary states in CFTs which…

High Energy Physics - Theory · Physics 2020-03-18 Tokiro Numasawa

Holographic methods are used to investigate the low temperature limit, including quantum critical behavior, of strongly coupled 4-dimensional gauge theories in the presence of an external magnetic field, and finite charge density. In…

High Energy Physics - Theory · Physics 2015-06-11 Eric D'Hoker , Per Kraus

In this study, we extend the application of the Lee-Yang phase transition theorem to the realm of AdS black hole thermodynamics, thereby deriving a comprehensive complex phase diagram for such systems. Our research augments extant studies…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Zhen-Ming Xu , Robert B. Mann

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

The variational problem of gravity theories is directly related to black hole thermodynamics. For asymptotically locally AdS backgrounds it is known that holographic renormalization results in a variational principle in terms of equivalence…

High Energy Physics - Theory · Physics 2016-04-20 Ok Song An , Mirjam Cvetič , Ioannis Papadimitriou

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

We construct a holographic model with Weyl corrections in five dimensional spacetime. In particular, we introduce a coupling term between the axion fields and the Maxwell field such that the momentum is relaxed even in the probe limit in…

High Energy Physics - Theory · Physics 2017-02-16 Yi Ling , Xiangrong Zheng

Considering de Rham-Gabadadze-Tolley theory of massive gravity coupled with (ghost free) higher curvature terms arisen from the Lovelock Lagrangian, we obtain charged AdS black hole solutions in diverse dimensions. We compute thermodynamic…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Seyed Hossein Hendi , Ali Dehghani

The holographic complexity of a static spherically symmetric black hole, defined as the volume of an extremal surface, grows linearly with time at late times in general relativity. The growth comes from a region at a constant transverse…

High Energy Physics - Theory · Physics 2025-08-11 Friðrik Freyr Gautason , Vyshnav Mohan , Lárus Thorlacius

The verification of the second law of black hole mechanics and the WCCC in the context of enthalpy as mass of the black hole and its related thermodynamic properties has not been tested through a vast number of literature in the recent…

High Energy Physics - Theory · Physics 2023-03-27 Md Sabir Ali , Hasan El Moumni , Jamal Khalloufi , Karima Masmar

We consider an exactly solvable worldsheet string theory in the background of a black brane with a gauge field flux. Holographically, such a system can be interpreted as a field theory with finite number of degrees of freedom at finite…

High Energy Physics - Theory · Physics 2013-06-14 Mikhail Goykhman , Andrei Parnachev

Using the complexity equals action proposal we study holographic complexity for hyperscaling violating theories in the presence of a finite cutoff that, in turns, requires to obtain all counter terms needed to have finite boundary energy…

High Energy Physics - Theory · Physics 2019-10-16 Mohsen Alishahiha , Amin Faraji Astaneh

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

We use the complexity=volume (CV) prescription to study the effect of a magnetic field on the computational complexity for states in the gauge theories dual to two different gravitational models. In one of these theories the complexity…

High Energy Physics - Theory · Physics 2023-07-27 Daniel Ávila , César Díaz , Leonardo Patiño

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Fang Liu , Ren Zhao , Li-Chun Zhang

As described in the review by Marek Abramowicz (these proceedings), accretion theory is at something of a crossroads. Many theoretical descriptions of observations have centered on the ``hydrodynamic'' approach of the ``standard'' Shakura &…

Astrophysics · Physics 2007-05-23 Michael A. Nowak

Microstate geometries are proposed microstates of black holes which can be described within supergravity. Even though their number may not reproduce the full entropy of black holes with finite-sized horizons, they still offer a glimpse into…

High Energy Physics - Theory · Physics 2024-05-10 Nejc Čeplak , Shaun D. Hampton

Nielsen's approach to quantum state complexity relates the minimal number of quantum gates required to prepare a state to the length of geodesics computed with a certain norm on the manifold of unitary transformations. For a bipartite…

High Energy Physics - Theory · Physics 2024-09-18 Stefano Baiguera , Shira Chapman , Giuseppe Policastro , Tal Schwartzman