Entanglement entropy of compactified branes and phase transition

Wung Hong Huang

研究成果: Article

摘要

We first calculate the holographic entanglement entropy of M5 branes on a circle and see that it has a phase transition when decreasing the compactified radius. In particular, it is shown that the entanglement entropy scales as N 3 . Next, we investigate the holographic entanglement entropy of a D0 + D4 system on a circle and see that it scales as N 2 at low energy, as in gauge theory with instantons. However, at high energy it transforms to a phase that scales as N 3 , as an M5 brane system. We also present the general form of holographic entanglement entropy of Dp, D p + D p + 4 and M-branes on a circle and see some simple relations among them. Finally, we present an analytic method to prove that they all have phase transitions from connected to disconnected surfaces as one increases the line segment that divides the entangling regions.

原文English
文章編號27
期刊General Relativity and Gravitation
51
發行號2
DOIs
出版狀態Published - 2019 二月 1

指紋

entropy
instantons
gauge theory
radii
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

引用此文

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Entanglement entropy of compactified branes and phase transition. / Huang, Wung Hong.

於: General Relativity and Gravitation, 卷 51, 編號 2, 27, 01.02.2019.

研究成果: Article

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