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Using the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This computation is done perturbatively to second order. We give a general result and…

High Energy Physics - Theory · Physics 2019-06-11 Mario Flory , Nina Miekley

We investigate holographic Krylov complexity in fully top-down AdS$_3$ and AdS$_2$ supergravity backgrounds dual to two-dimensional linear-quiver SCFTs and one-dimensional conformal quantum mechanics. In these geometries, the warp factors,…

High Energy Physics - Theory · Physics 2025-12-18 Ali Fatemiabhari , Horatiu Nastase , Carlos Nunez , Dibakar Roychowdhury

We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear…

High Energy Physics - Theory · Physics 2023-12-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We study the evolution of holographic subregion complexity under a thermal quench in this paper. From the subregion CV proposal in the AdS/CFT correspondence, the subregion complexity in the CFT is holographically captured by the volume of…

High Energy Physics - Theory · Physics 2018-09-25 Bin Chen , Wen-Ming Li , Run-Qiu Yang , Cheng-Yong Zhang , Shao-Jun Zhang

We review the role that infinite-dimensional symmetries arising at the boundary of asymptotically flat spacetimes play in the context of the celestial holography program. Once recast into the language of conformal field theory, asymptotic…

High Energy Physics - Theory · Physics 2023-10-20 Laura Donnay

We develop a method for obtaining exact time-dependent solutions in Jackiw-Teitelboim gravity coupled to non-conformal matter and study consequences for $NAdS_2$ holography. We study holographic quenches in which we find that the black hole…

High Energy Physics - Theory · Physics 2020-03-11 Lata Kh Joshi , Ayan Mukhopadhyay , Alexander Soloviev

Lifshitz space-times with critical exponent z=2 can be obtained by dimensional reduction of Schroedinger space-times with critical exponent z=0. The latter space-times are asymptotically AdS solutions of AdS gravity coupled to an…

High Energy Physics - Theory · Physics 2015-06-05 Wissam Chemissany , David Geissbühler , Jelle Hartong , Blaise Rollier

We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation is still an open…

High Energy Physics - Theory · Physics 2022-12-02 Johanna Erdmenger , Marius Gerbershagen , Michal P. Heller , Anna-Lena Weigel

We explore the two holographic complexity proposals for the case of a 2d boundary CFT with a conformal defect. We focus on a Randall-Sundrum type model of a thin AdS$_2$ brane embedded in AdS$_3$. We find that, using the "complexity=volume"…

High Energy Physics - Theory · Physics 2019-06-05 Shira Chapman , Dongsheng Ge , Giuseppe Policastro

Hole-ography is a prescription relating the areas of surfaces in an AdS bulk to the differential entropy of a family of intervals in the dual CFT. In (2+1) bulk dimensions, or in higher dimensions when the bulk features a sufficient degree…

High Energy Physics - Theory · Physics 2015-09-21 Netta Engelhardt , Sebastian Fischetti

Holographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally AdS spacetimes. For dual boundary field theories which are supersymmetric it is natural to ask whether this defines a…

High Energy Physics - Theory · Physics 2017-03-09 Pietro Benetti Genolini , Davide Cassani , Dario Martelli , James Sparks

In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A…

High Energy Physics - Theory · Physics 2020-01-08 Bartlomiej Czech , Xi Dong

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

By using the approach introduced in arXiv:2107.09677 we construct non-BPS solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a perturbation of AdS$_3\times S^3$. These solutions are both regular and asymptotically…

High Energy Physics - Theory · Physics 2022-03-15 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo

We propose a free falling particle in an AdS space as a holographic model of local quench. Local quenches are triggered by local excitations in a given quantum system. We calculate the time-evolution of holographic entanglement entropy. We…

High Energy Physics - Theory · Physics 2015-06-15 Masahiro Nozaki , Tokiro Numasawa , Tadashi Takayanagi

Dynamical evolution of thin shells composed by different kinds of degrees of freedom collapsing within asymptotically AdS spaces is explored with the aim of investigating models of holographic thermalization of strongly coupled systems.…

High Energy Physics - Theory · Physics 2013-04-09 Walter H. Baron , Damian Galante , Martin Schvellinger

A long-standing and intriguing question is: does the holographic principle apply to cosmologies like de Sitter spacetime? In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a…

High Energy Physics - Theory · Physics 2023-07-18 Taishi Kawamoto , Shan-Ming Ruan , Yu-ki Suzuki , Tadashi Takayanagi

We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV divergences appearing in these quantities, and show that…

High Energy Physics - Theory · Physics 2019-05-27 Dean Carmi , Robert C. Myers , Pratik Rath

In this paper, we argue that holographic complexity should be a basis-dependent quantity. Computational complexity of a state is defined as a minimum number of gates required to obtain that state from the reference state. Due to this…

High Energy Physics - Theory · Physics 2018-08-15 Koji Hashimoto , Norihiro Iizuka , Sotaro Sugishita