Refined holographic entanglement entropy for the ads solitons and ads black holes

Masafumi Ishihara, Feng Li Lin, Bo Ning

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent piece of the holographic entanglement entropy, the so-called renormalized entanglement entropy which is independent of the choices of UV cutoff. Our main results are: (i) the renormalized entanglement entropies of the AdSd+1 soliton for d=4, 5 are neither monotonically decreasing along the RG flow nor positive-definite, especially around the deconfinement/confinement phase transition; (ii) there is no topological entanglement entropy for AdS5 soliton even with Gauss-Bonnet correction; (iii) for the AdS black holes, the renormalized entanglement entropy obeys an expected volume law at IR regime, and the transition between UV and IR regimes is a smooth crossover even with Gauss-Bonnet correction; (iv) based on AdS/MERA conjecture, we postulate that the IR fixed-point state for the non-extremal AdS soliton is a trivial product state.

Original languageEnglish
Pages (from-to)392-426
Number of pages35
JournalNuclear Physics B
Volume872
Issue number3
DOIs
Publication statusPublished - 2013 Jul 21

Fingerprint

solitary waves
entropy
axioms
crossovers
cut-off
products

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Refined holographic entanglement entropy for the ads solitons and ads black holes. / Ishihara, Masafumi; Lin, Feng Li; Ning, Bo.

In: Nuclear Physics B, Vol. 872, No. 3, 21.07.2013, p. 392-426.

Research output: Contribution to journalArticle

Ishihara, Masafumi ; Lin, Feng Li ; Ning, Bo. / Refined holographic entanglement entropy for the ads solitons and ads black holes. In: Nuclear Physics B. 2013 ; Vol. 872, No. 3. pp. 392-426.
@article{9196a4a172eb4261a9b9534d5c8ef524,
title = "Refined holographic entanglement entropy for the ads solitons and ads black holes",
abstract = "We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent piece of the holographic entanglement entropy, the so-called renormalized entanglement entropy which is independent of the choices of UV cutoff. Our main results are: (i) the renormalized entanglement entropies of the AdSd+1 soliton for d=4, 5 are neither monotonically decreasing along the RG flow nor positive-definite, especially around the deconfinement/confinement phase transition; (ii) there is no topological entanglement entropy for AdS5 soliton even with Gauss-Bonnet correction; (iii) for the AdS black holes, the renormalized entanglement entropy obeys an expected volume law at IR regime, and the transition between UV and IR regimes is a smooth crossover even with Gauss-Bonnet correction; (iv) based on AdS/MERA conjecture, we postulate that the IR fixed-point state for the non-extremal AdS soliton is a trivial product state.",
author = "Masafumi Ishihara and Lin, {Feng Li} and Bo Ning",
year = "2013",
month = "7",
day = "21",
doi = "10.1016/j.nuclphysb.2013.04.003",
language = "English",
volume = "872",
pages = "392--426",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Refined holographic entanglement entropy for the ads solitons and ads black holes

AU - Ishihara, Masafumi

AU - Lin, Feng Li

AU - Ning, Bo

PY - 2013/7/21

Y1 - 2013/7/21

N2 - We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent piece of the holographic entanglement entropy, the so-called renormalized entanglement entropy which is independent of the choices of UV cutoff. Our main results are: (i) the renormalized entanglement entropies of the AdSd+1 soliton for d=4, 5 are neither monotonically decreasing along the RG flow nor positive-definite, especially around the deconfinement/confinement phase transition; (ii) there is no topological entanglement entropy for AdS5 soliton even with Gauss-Bonnet correction; (iii) for the AdS black holes, the renormalized entanglement entropy obeys an expected volume law at IR regime, and the transition between UV and IR regimes is a smooth crossover even with Gauss-Bonnet correction; (iv) based on AdS/MERA conjecture, we postulate that the IR fixed-point state for the non-extremal AdS soliton is a trivial product state.

AB - We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent piece of the holographic entanglement entropy, the so-called renormalized entanglement entropy which is independent of the choices of UV cutoff. Our main results are: (i) the renormalized entanglement entropies of the AdSd+1 soliton for d=4, 5 are neither monotonically decreasing along the RG flow nor positive-definite, especially around the deconfinement/confinement phase transition; (ii) there is no topological entanglement entropy for AdS5 soliton even with Gauss-Bonnet correction; (iii) for the AdS black holes, the renormalized entanglement entropy obeys an expected volume law at IR regime, and the transition between UV and IR regimes is a smooth crossover even with Gauss-Bonnet correction; (iv) based on AdS/MERA conjecture, we postulate that the IR fixed-point state for the non-extremal AdS soliton is a trivial product state.

UR - http://www.scopus.com/inward/record.url?scp=84876742991&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876742991&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2013.04.003

DO - 10.1016/j.nuclphysb.2013.04.003

M3 - Article

AN - SCOPUS:84876742991

VL - 872

SP - 392

EP - 426

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -