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

Masafumi Ishihara, Feng Li Lin, Bo Ning

    Research output: Contribution to journalArticlepeer-review

    12 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

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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