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Holographic entanglement entropy for excited states in two dimensional CFT

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Abstract

We use holographic methods to study the entanglement entropy for excited states in a two dimensional conformal field theory. The entangling area is a single interval and the excitations are produced by in and out vertex operators with given scaling dimensions. On the gravity side we provide the excitations by turning on a scalar field with an appropriate mass. The calculation amounts to using the gravitational background, with a singular boundary, to find the one point function of the vertex operators. The singular boundary is taken care of by introducing a nontrivial UV regulator surface to calculate gravitational partition functions. By means of holographic methods we reproduce the field theory results for primary excitations.

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Authors and Affiliations

  1. Department of Physics, Sharif University of Technology, P.O. Box, 11365-9161, Tehran, Iran

    Amin Faraji Astaneh

  2. School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box, 19395-5531, Tehran, Iran

    Amin Faraji Astaneh & Amir Esmaeil Mosaffa

Authors
  1. Amin Faraji Astaneh
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  2. Amir Esmaeil Mosaffa
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Correspondence to Amin Faraji Astaneh.

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ArXiv ePrint: 1301.1495

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Astaneh, A.F., Mosaffa, A.E. Holographic entanglement entropy for excited states in two dimensional CFT. J. High Energ. Phys. 2013, 135 (2013). https://doi.org/10.1007/JHEP03(2013)135

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  • DOI: https://doi.org/10.1007/JHEP03(2013)135

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