Holography of AdS hairy black holes and Cardy-Verlinde formula

Dumitru Astefanesei (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Avenida Brasil 2950, Valparaíso, Chile) ; David Choque (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Avenida Brasil 2950, Valparaíso, Chile) ; Jorge Maggiolo (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Avenida Brasil 2950, Valparaíso, Chile) ; Raúl Rojas (Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile)

We discuss some aspects related to holography of anti–de Sitter (AdS) dyonic hairy black holes, which break the conformal symmetry of the boundary. We use counterterms for the scalar field that satisfies mixed boundary conditions to compute the Euclidean action and dual stress tensor. We apply these results to show that the Cardy-Verlinde formula is not satisfied. However, when the magnetic (or electric) charge vanishes, the conformal symmetry is preserved and the entropy of the black hole can be put in the Cardy-Verlinde form. In our analysis, there is no need of adding extra finite counterterms and, in this particular case, we explicitly show that our results match the ones obtained from using the superpotential as a counterterm.

{
  "_oai": {
    "updated": "2022-08-16T00:30:22Z", 
    "id": "oai:repo.scoap3.org:72001", 
    "sets": [
      "PRD"
    ]
  }, 
  "authors": [
    {
      "raw_name": "Dumitru Astefanesei", 
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Instituto de F\u00edsica, Avenida Brasil 2950, Valpara\u00edso, Chile"
        }
      ], 
      "surname": "Astefanesei", 
      "given_names": "Dumitru", 
      "full_name": "Astefanesei, Dumitru"
    }, 
    {
      "raw_name": "David Choque", 
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Instituto de F\u00edsica, Avenida Brasil 2950, Valpara\u00edso, Chile"
        }
      ], 
      "surname": "Choque", 
      "given_names": "David", 
      "full_name": "Choque, David"
    }, 
    {
      "raw_name": "Jorge Maggiolo", 
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Instituto de F\u00edsica, Avenida Brasil 2950, Valpara\u00edso, Chile"
        }
      ], 
      "surname": "Maggiolo", 
      "given_names": "Jorge", 
      "full_name": "Maggiolo, Jorge"
    }, 
    {
      "raw_name": "Ra\u00fal Rojas", 
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Departamento de F\u00edsica, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile"
        }
      ], 
      "surname": "Rojas", 
      "given_names": "Ra\u00fal", 
      "full_name": "Rojas, Ra\u00fal"
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Holography of AdS hairy black holes and Cardy-Verlinde formula"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.106.044032"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "106", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "4", 
      "year": 2022
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2022-08-16T00:30:18.115897", 
    "source": "APS", 
    "method": "APS", 
    "submission_number": "8ff5ee801cfa11edb781c266b09ae2bf"
  }, 
  "page_nr": [
    9
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2022"
    }
  ], 
  "control_number": "72001", 
  "record_creation_date": "2022-08-15T14:30:03.388720", 
  "_files": [
    {
      "checksum": "md5:80f9621190ad26a5e80b3c16d4b4c45f", 
      "filetype": "pdf", 
      "bucket": "6057bf37-b633-4ade-ad39-3ea58c91350a", 
      "version_id": "c4767440-696c-490c-bfaa-afb20d15b1ef", 
      "key": "10.1103/PhysRevD.106.044032.pdf", 
      "size": 225095
    }, 
    {
      "checksum": "md5:198c0b3006d3914d2a61b360f992de65", 
      "filetype": "xml", 
      "bucket": "6057bf37-b633-4ade-ad39-3ea58c91350a", 
      "version_id": "7f8939a5-e680-4969-923c-7fe21b88d3a1", 
      "key": "10.1103/PhysRevD.106.044032.xml", 
      "size": 190155
    }
  ], 
  "collections": [
    {
      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th"
      ], 
      "value": "2111.01337"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "We discuss some aspects related to holography of anti\u2013de Sitter (AdS) dyonic hairy black holes, which break the conformal symmetry of the boundary. We use counterterms for the scalar field that satisfies mixed boundary conditions to compute the Euclidean action and dual stress tensor. We apply these results to show that the Cardy-Verlinde formula is not satisfied. However, when the magnetic (or electric) charge vanishes, the conformal symmetry is preserved and the entropy of the black hole can be put in the Cardy-Verlinde form. In our analysis, there is no need of adding extra finite counterterms and, in this particular case, we explicitly show that our results match the ones obtained from using the superpotential as a counterterm."
    }
  ], 
  "imprints": [
    {
      "date": "2022-08-15", 
      "publisher": "APS"
    }
  ]
}
Published on:
15 August 2022
Publisher:
APS
Published in:
Physical Review D , Volume 106 (2022)
Issue 4
DOI:
https://doi.org/10.1103/PhysRevD.106.044032
arXiv:
2111.01337
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: