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We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature…

High Energy Physics - Theory · Physics 2015-06-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

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

We investigate the stringy effects on holographic complexity in $(d+1)$-dimensional Gauss-Bonnet gravity using the ``complete volume'' proposal for higher-curvature theories. Our analysis covers unperturbed eternal black holes, as well as…

High Energy Physics - Theory · Physics 2026-05-18 Qi Yang , Yu-Xiao Liu

In this work, we study the effects of stringy corrections on the low energy effective action derived from heterotic string theory beyond its supergravity approximation. Compactifying the ten dimensional theory with these stringy corrections…

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

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

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

We argue that generic non-relativistic quantum field theories have a holographic description in terms of Horava gravity. We construct explicit examples of this duality embedded in string theory by starting with relativistic dual pairs and…

High Energy Physics - Theory · Physics 2013-03-14 Stefan Janiszewski , Andreas Karch

In this paper, we use Born-Infeld black holes to test two recent holographic conjectures of complexity, the "Complexity = Action" (CA) duality and "Complexity = Volume 2.0" (CV) duality. The complexity of a boundary state is identified with…

High Energy Physics - Theory · Physics 2018-01-17 Jun Tao , Peng Wang , Haitang Yang

In this semi-technical review we discuss string theory (and all that goes by that name) as a framework for a quantum theory of gravity. This is a new paradigm in theoretical physics that goes beyond relativistic quantum field theory. We…

General Relativity and Quantum Cosmology · Physics 2008-11-05 Spenta R. Wadia

It is assumed that the holographic complexities such as the complexity-action (CA) and the complexity-volume (CV) conjecture are dual to complexity in field theory. However, because the definition of the complexity in field theory is still…

High Energy Physics - Theory · Physics 2021-02-05 Run-Qiu Yang , Yu-Sen An , Chao Niu , Cheng-Yong Zhang , Keun-Young Kim

Thus far, the literature regarding holographic complexity almost entirely focuses on the context of $(d+1)$-dimensional anti-de Sitter spacetime rather than the full higher-dimensional gauge/gravity duality in string or M theory. We provide…

High Energy Physics - Theory · Physics 2025-02-12 Andrew R. Frey

In this paper, we first use the "complexity equals action" conjecture to discuss the complexity growth rate in both perturbation Einsteinian cubic gravity and non-perturbation Einstein-Weyl gravity. We find that the CA complexity rate in…

High Energy Physics - Theory · Physics 2019-10-02 Jie Jiang , Xiao-Wei Li

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

We compute the time-dependent complexity of the thermofield double states by four different proposals: two holographic proposals based on the "complexity-action" (CA) conjecture and "complexity-volume" (CV) conjecture, and two quantum field…

High Energy Physics - Theory · Physics 2017-11-10 Keun-Young Kim , Chao Niu , Run-Qiu Yang , Cheng-Yong Zhang

The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components. Using the…

High Energy Physics - Theory · Physics 2021-05-05 Pablo Bueno , Joan Camps , Alejandro Vilar López

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at…

High Energy Physics - Theory · Physics 2015-06-22 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

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

The holographic solution is a new exact solution to the Einstein field equations. It describes a compact self-gravitating object with properties similar to a black hole. Its entropy and temperature at infinity are proportional to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black…

High Energy Physics - Theory · Physics 2020-10-28 Ahmad Ghodsi , Saeed Qolibikloo , Saman Karimi
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