Abstract:
We study instant conformal symmetry breaking as a holographic effect of ultrarelativistic particles moving in the AdS$_3$ space–time. We give a qualitative picture of this effect based on calculating the two-point correlation functions and the entanglement entropy of the corresponding boundary theory. We show that in the geodesic approximation, because of gravitational lensing of the geodesics, the ultrarelativistic massless defect produces a zone structure for correlators with broken conformal invariance. At the same time, the holographic entanglement entropy also exhibits a transition to nonconformal behavior. Two colliding massless defects produce a more diverse zone structure for correlators and the entanglement entropy.
This research was performed at the Steklov
Mathematical Institute of Russian Academy of Science and supported by a
grant from the Russian Science Foundation (Project No. 14-11-00687).
Citation:
D. S. Ageev, I. Ya. Aref'eva, “Holographic instant conformal symmetry breaking by colliding conical defects”, TMF, 189:3 (2016), 389–404; Theoret. and Math. Phys., 189:3 (2016), 1742–1754