### Abstract

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.

Original language | English |
---|---|

Article number | 27 |

Journal | General Relativity and Gravitation |

Volume | 51 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2019 Feb 1 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*General Relativity and Gravitation*,

*51*(2), [27]. https://doi.org/10.1007/s10714-019-2513-6

}

*General Relativity and Gravitation*, vol. 51, no. 2, 27. https://doi.org/10.1007/s10714-019-2513-6

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Entanglement entropy of compactified branes and phase transition

AU - Huang, Wung Hong

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85061237829&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061237829&partnerID=8YFLogxK

U2 - 10.1007/s10714-019-2513-6

DO - 10.1007/s10714-019-2513-6

M3 - Article

AN - SCOPUS:85061237829

VL - 51

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

SN - 0001-7701

IS - 2

M1 - 27

ER -