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TMF, 2015, Volume 182, Number 1, Pages 3–27 (Mi tmf8747)  

This article is cited in 8 scientific papers (total in 8 papers)

Holographic dual of a conical defect

I. Ya. Aref'evaa, A. A. Bagrovb

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Instituut-Lorentz for Theoretical Physics, Leiden University, Leiden, The Netherlands

Abstract: We consider a moving conical defect in the pure AdS$_3$ space–time and calculate two-point correlation functions of a corresponding two-dimensional boundary quantum field theory in the geodesic approximation. We show that the presence of the defect leads to a gravitational lensing of geodesics, and this results in a finite number of similar terms in the Green's function that correspond to winding geodesics in the bulk around the conical singularity. We show that for the quantized deficit angle $\gamma=\pi/2n$, the lensing produces domain wall excitations in the spectrum of the boundary theory.

Keywords: AdS/CFT duality, conical defect, holographic duality

Funding Agency Grant Number
Russian Science Foundation 14-11-00687
This work was supported in part by the Russian Science Foundation (Grant № 14-11-00687, I. Ya. A., Steklov Mathematical Institute, Moscow)


DOI: https://doi.org/10.4213/tmf8747

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English version:
Theoretical and Mathematical Physics, 2015, 182:1, 1–22

Bibliographic databases:

Received: 24.06.2014

Citation: I. Ya. Aref'eva, A. A. Bagrov, “Holographic dual of a conical defect”, TMF, 182:1 (2015), 3–27; Theoret. and Math. Phys., 182:1 (2015), 1–22

Citation in format AMSBIB
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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. D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, “$(1+1)$-Correlators and moving massive defects”, Theoret. and Math. Phys., 188:1 (2016), 1038–1068  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    2. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Improved image method for a holographic description of conical defects”, Theoret. and Math. Phys., 189:2 (2016), 1660–1672  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. D. S. Ageev, I. Ya. Aref'eva, “Holographic instant conformal symmetry breaking by colliding conical defects”, Theoret. and Math. Phys., 189:3 (2016), 1742–1754  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. E. J. Lindgren, “Black hole formation from pointlike particles in three-dimensional anti-de Sitter space”, Class. Quantum Gravity, 33:14 (2016), 145009  crossref  mathscinet  zmath  isi  scopus
    5. 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
    6. M. A. Khramtsov, “Holographic dictionary and defects in the bulk”, 19Th International Seminar on High Energy Physics (Quarks-2016), Epj Web of Conferences, 125, ed. Andrianov V. Matveev V. Rubakov V. Kim V. Andrianov A. Fitkevich M., E D P Sciences, 2016, UNSP 05010  crossref  isi  scopus
    7. 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
    8. Ch.-B. Chen, W.-C. Gan, F.-W. Shu, B. Xiong, “Quantum information metric of conical defect”, Phys. Rev. D, 98:4 (2018), 046008  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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