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TMF, 2016, Volume 189, Number 3, Pages 389–404 (Mi tmf9086)  

This article is cited in 6 scientific papers (total in 6 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

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).


DOI: https://doi.org/10.4213/tmf9086

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English version:
Theoretical and Mathematical Physics, 2016, 189:3, 1742–1754

Bibliographic databases:

Document Type: Article
Received: 27.10.2015

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

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. J. Lindgren, “Collisions of massive particles, timelike thin shells and formation of black holes in three dimensions”, J. High Energy Phys., 2016, no. 12, 048  crossref  mathscinet  isi  scopus
    2. E. J. Lindgren, “Black hole formation from pointlike particles in three-dimensional anti-de Sitter space”, Class. Quantum Gravity, 33:14 (2016), 145009, 35 pp.  crossref  mathscinet  zmath  isi  scopus
    3. I. Ya. Aref'eva, M. A. Khramtsov, “AdS/CFT prescription for angle-deficit space and winding geodesics”, J. High Energy Phys., 2016, no. 4, 121  crossref  mathscinet  isi  scopus
    4. M. Khramtsov, “Holographic dictionary and defects in the bulk”, 19th International Seminar on High Energy Physics (QUARKS-2016), EPJ Web Conf., 125, eds. V. Andrianov, V. Matveev, V. Rubakov, V. Kim, A. Andrianov M. Fitkevich, EDP Sciences, 2016, UNSP 05010  crossref  isi  scopus
    5. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Thermalization after holographic bilocal quench”, J. High Energy Phys., 2017, no. 9, 115  crossref  mathscinet  zmath  isi  scopus
    6. D. Ageev, I. Aref'eva, A. Bagrov, M. I. Katsnelson, “Holographic local quench and effective complexity”, J. High Energy Phys., 2018, no. 8, 071  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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