Abstract
We consider a moving conical defect in the pure AdS3 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 γ = π/2n, the lensing produces domain wall excitations in the spectrum of the boundary theory.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 3–27, January, 2014.
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Arefeva, I.Y., Bagrov, A.A. Holographic dual of a conical defect. Theor Math Phys 182, 1–22 (2015). https://doi.org/10.1007/s11232-015-0242-x
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DOI: https://doi.org/10.1007/s11232-015-0242-x