Geodesic
Improved image method for a holographic description of conical defects
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 2, pp. 296-311 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Improved image method for a~holographic description of conical defects},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {189},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_2_a9/}
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I. Ya. Aref'eva; M. A. Khramtsov; M. D. Tikhanovskaya. Improved image method for a holographic description of conical defects. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 2, pp. 296-311. http://geodesic.mathdoc.fr/item/TMF_2016_189_2_a9/

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