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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 3, Pages 389–404
DOI: https://doi.org/10.4213/tmf9086
(Mi tmf9086)
 

This article is cited in 13 scientific papers (total in 13 papers)

Holographic instant conformal symmetry breaking by colliding conical defects

D. S. Ageev, I. Ya. Aref'eva

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We study instant conformal symmetry breaking as a holographic effect of ultrarelativistic particles moving in the AdS$_3$ space–time. We give a qualitative picture of this effect based on calculating the two-point correlation functions and the entanglement entropy of the corresponding boundary theory. We show that in the geodesic approximation, because of gravitational lensing of the geodesics, the ultrarelativistic massless defect produces a zone structure for correlators with broken conformal invariance. At the same time, the holographic entanglement entropy also exhibits a transition to nonconformal behavior. Two colliding massless defects produce a more diverse zone structure for correlators and the entanglement entropy.
Keywords: AdS/CFT correspondence, holography, conical defect, thermalization, holographic entanglement entropy.
Funding agency Grant number
Russian Science Foundation 14-11-00687
This research was performed at the Steklov Mathematical Institute of Russian Academy of Science and supported by a grant from the Russian Science Foundation (Project No. 14-11-00687).
Received: 27.10.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 3, Pages 1742–1754
DOI: https://doi.org/10.1134/S0040577916120072
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. S. Ageev, I. Ya. Aref'eva, “Holographic instant conformal symmetry breaking by colliding conical defects”, TMF, 189:3 (2016), 389–404; Theoret. and Math. Phys., 189:3 (2016), 1742–1754
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9086
  • https://www.mathnet.ru/eng/tmf/v189/i3/p389
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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