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Holographic instant conformal symmetry breaking by colliding conical defects

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Abstract

We study instant conformal symmetry breaking as a holographic effect of ultrarelativistic particles moving in the AdS3 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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    D. S. Ageev & I. Ya. Aref’eva

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  1. D. S. Ageev
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  2. I. Ya. Aref’eva
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Correspondence to D. S. Ageev.

Additional information

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).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 3, pp. 389–404, December, 2016.

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Ageev, D.S., Aref’eva, I.Y. Holographic instant conformal symmetry breaking by colliding conical defects. Theor Math Phys 189, 1742–1754 (2016). https://doi.org/10.1134/S0040577916120072

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