English

Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy

High Energy Physics - Theory 2015-06-19 v3 Strongly Correlated Electrons Quantum Physics

Abstract

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two free scalar field theories which are interacting with each other in both static and time-dependent ways. We also conjecture a holographic calculation of entanglement entropy between two interacting N=4\mathcal{N}=4 super Yang-Mills theories by introducing a minimal surface in the S5^5 direction, instead of the AdS5_5 direction. This offers a possible generalization of holographic entanglement entropy.

Keywords

Cite

@article{arxiv.1403.1393,
  title  = {Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy},
  author = {Ali Mollabashi and Noburo Shiba and Tadashi Takayanagi},
  journal= {arXiv preprint arXiv:1403.1393},
  year   = {2015}
}

Comments

37 pages, 7 figures, v2: typos corrected, references added, v3: a ref. + a clarification note about minimal surfaces added