Holographic dual of a~conical defect
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 3-27
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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.
@article{TMF_2015_182_1_a0,
author = {I. Ya. Aref'eva and A. A. Bagrov},
title = {Holographic dual of a~conical defect},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--27},
publisher = {mathdoc},
volume = {182},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a0/}
}
I. Ya. Aref'eva; A. A. Bagrov. Holographic dual of a~conical defect. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 3-27. http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a0/