Geodesic
Improved image method for a~holographic description of conical defects
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 2, pp. 296-311

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2016_189_2_a9,
     author = {I. Ya. Aref'eva and M. A. Khramtsov and M. D. Tikhanovskaya},
     title = {Improved image method for a~holographic description of conical defects},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {296--311},
     publisher = {mathdoc},
     volume = {189},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_2_a9/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
AU  - M. A. Khramtsov
AU  - M. D. Tikhanovskaya
TI  - Improved image method for a~holographic description of conical defects
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2016
SP  - 296
EP  - 311
VL  - 189
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2016_189_2_a9/
LA  - ru
ID  - TMF_2016_189_2_a9
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%A M. A. Khramtsov
%A M. D. Tikhanovskaya
%T Improved image method for a~holographic description of conical defects
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2016
%P 296-311
%V 189
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2016_189_2_a9/
%G ru
%F TMF_2016_189_2_a9
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/