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This article is cited in 9 scientific papers (total in 9 papers)
Improved image method for a holographic description of conical defects
I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
The geodesics prescription in the holographic approach in the Lorentzian signature is applicable only for geodesics connecting spacelike-separated points at the boundary because there are no timelike geodesics that reach the boundary. Also, generally speaking, there is no direct analytic Euclidean continuation for a general background, such as a moving particle in the AdS space. We propose an improved geodesic image method for two-point Lorentzian correlators that is applicable for arbitrary time intervals when the space–time is deformed by point particles. We show that such a prescription agrees with the case where the analytic continuation exists and also with the previously used prescription for quasigeodesics. We also discuss some other applications of the improved image method: holographic entanglement entropy and multiple particles in the AdS$_3$ space.
Keywords:
AdS/CFT correspondence, holography, geodesic approximation, conical defect.
Received: 17.05.2016
Citation:
I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Improved image method for a holographic description of conical defects”, TMF, 189:2 (2016), 296–311; Theoret. and Math. Phys., 189:2 (2016), 1660–1672
Linking options:
https://www.mathnet.ru/eng/tmf9231https://doi.org/10.4213/tmf9231 https://www.mathnet.ru/eng/tmf/v189/i2/p296
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Abstract page: | 430 | Full-text PDF : | 121 | References: | 56 | First page: | 21 |
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