Holography and nonlocal operators for the BTZ black hole with nonzero angular momentum

Ageev, Dmitry S.; Aref’eva, I. Ya.

doi:10.1007/s11232-014-0186-6

Cited by 10 publications

(8 citation statements)

References 26 publications

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“…Examples of nonlocal objects are Wilson loops, 't Hooft operators, and so on. Complexity of systems with nonlocal operators such as "Wilson loops" are studied in works [155,156,157]. To study the action of the system with nonlocal operators we use the method used in [158,159].…”

Section: Introductionmentioning

confidence: 99%

Complexity growth of rotating black holes with a probe string

Nagasaki

2018

Phys. Rev. D

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We consider the growth of the action for black hole spacetime with a fundamental string. According to "complexity -action" conjecture it is expected to be equal to complexity which describes the quantum states of black holes. We consider black holes with three different horizon topologies. These have positive, negative and zero curvatures. We are interested in the complexity growth of these system with a fundamental string. We find that for the case where the black holes have the toroidal horizon structure the probe string behaves very differently from the other two cases.

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Section: Introductionmentioning

confidence: 99%

Complexity growth of rotating black holes with a probe string

Nagasaki

2018

Phys. Rev. D

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“…For d > 2 we cannot exactly solve (5.6) for the switchover radius, but we can obtain an approximation for large and small black holes. The former is especially well motivated, since for large black holes there is a natural interpretation of the switchover as a "confinementdeconfinement" phase transition [37][38][39]…”

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confidence: 99%

Casting shadows on holographic reconstruction

et al. 2015

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General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. In the context of the AdS/CFT correspondence, we study several holographic probes that relate information about the bulk spacetime to CFT data. The best-known example is the relation between minimal surfaces in the bulk and entanglement entropy of a subregion in the CFT. Building on earlier work, we identify "shadows" in the bulk: regions that are not illuminated by any of the bulk probes we consider, in the sense that the bulk surfaces do not pass through these regions. We quantify the size of the shadow in the near-horizon region of a black hole and in the vicinity of a sufficiently dense star. The existence of shadows motivates further study of the bulk-boundary dictionary in order to identify CFT quantities that encode information about the shadow regions in the bulk. We speculate on the interpretation of our results from a dual field theory perspective.

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“…For instance, in [55] the growth of complexity with the probe brane was studied. In [56] the nonlocal operator was studied in BTZ black hole. More recently, Nagasaki investigated the complexity of AdS 5 black hole via CA by inserting a probe string which moves on a circle in the spacial part of the AdS spacetime [57].…”

Section: (): V-volmentioning

confidence: 99%

Complexity growth of massive black hole with a probe string

Zhou

Kuang

2021

Eur. Phys. J. C

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In this work, we study the computational complexity of massive gravity theory via the “Complexity = Action” conjecture. Our system contains a particle moving on the boundary of the black hole spacetime. It is dual to inserting a fundamental string in the bulk background. Then this string would contribute a Nambu–Goto term, such that the total action is composed of the Einstein–Hilbert term, Nambu–Goto term and the boundary term. We shall investigate the time development of this system, and mainly discuss the features of the Nambu–Goto term affected by the graviton mass and the horizon curvature in different dimensions. Our study could contribute interesting properties of complexity.

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Holography and nonlocal operators for the BTZ black hole with nonzero angular momentum

Cited by 10 publications

References 26 publications

Complexity growth of rotating black holes with a probe string

Complexity growth of rotating black holes with a probe string

Casting shadows on holographic reconstruction

Complexity growth of massive black hole with a probe string

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