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A research on the spatially inhomogeneous effects of AdS/CFT duality

Research Project

Project/Area Number 23740200
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionShibaura Institute of Technology

Principal Investigator

MAEDA kengo  芝浦工業大学, 工学部, 准教授 (10390478)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
KeywordsAdS/CFT双対性 / AdSブラックホール / 強相関量子多体系物理 / 強相関量子多体系
Research Abstract

The AdS/CFT duality is now an extremely useful tool to understand strongly coupled condensed matter physics.Over the past few years a considerable number of studies have been made on highly symmetric AdS geometries with translational or rotational symmetries. In this research, we investigate the strongly coupled condensed matter physics via AdS/CFT duality by taking into account the effects of inhomogeneous or anisotropic effects on the bulk geometries. I first constructed spatially inhomogenous or anisotropic AdS black brane solutions and investigated the geometric properties.I also found that the lattice effect does not break the superconducting state within the perturbation under the probe limit. Furthermore, we investigated the dissipation of an electric current by umklapp scattering from the perspective of black hole rigidity theorem.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (19 results)

All 2014 2013 2012 2011

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (8 results) (of which Invited: 1 results)

  • [Journal Article] A holographic superconductor model in a spatially anisotropic background2014

    • Author(s)
      Jun-ichirou Koga, Kengo Maeda, Kentaro Tomoda
    • Journal Title

      Physical Review D

      Volume: 89

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermalization of boosted charged AdS black holes by an ionic lattice2013

    • Author(s)
      Akihiro Ishibashi, Kengo Maeda
    • Journal Title

      Physical Review D

      Volume: 88

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stripe instabilities of geometries with hyperscaling violation2013

    • Author(s)
      Norihiro Iizuka, Kengo Maeda
    • Journal Title

      Physical Review D

      Volume: 87

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stripe Instabilities of Geometries with Hyperscaling Violation2013

    • Author(s)
      飯塚則弘、前田健吾
    • Journal Title

      Physical Review D

      Volume: 87 Issue: 12

    • DOI

      10.1103/physrevd.87.126006

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermalization of boosted charged AdS black holes by an ionic lattice2013

    • Author(s)
      石橋明浩 前田健吾
    • Journal Title

      Physical Review D

      Volume: 88 Issue: 6 Pages: 66009-66009

    • DOI

      10.1103/physrevd.88.066009

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singularities in asymptotic anti-de Sitter spacetimes2012

    • Author(s)
      Akihiro Ishibashi, Kengo Maeda
    • Journal Title

      Physical Review D

      Volume: 86

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Towards the Lattice Effects on the Holographic Superconductor2012

    • Author(s)
      前田健吾、飯塚則裕
    • Journal Title

      Journal Of High Enegy Physics

      Volume: 11 Issue: 11 Pages: 1171-19

    • DOI

      10.1007/jhep11(2012)117

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Study of anisotropic black branes in asymptotically anti-de Sitter2012

    • Author(s)
      Norihiro Iizuka, Kengo Maeda
    • Journal Title

      Journal of high energy physics

      Volume: 1207 Issue: 7 Pages: 1-29

    • DOI

      10.1007/jhep07(2012)129

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime2012

    • Author(s)
      Kengo Maeda, Takashi Okamura
    • Journal Title

      Physical Review D

      Volume: 85

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Singularities in asymptotically anti-de Sitter spacetimes2012

    • Author(s)
      Kengo Maeda
    • Journal Title

      Physical Reivew D

      Volume: 86 Issue: 10 Pages: 104012-104012

    • DOI

      10.1103/physrevd.86.104012

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime2012

    • Author(s)
      前田健吾、岡村隆、古賀潤一郎
    • Journal Title

      Physical Review D

      Volume: 85

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 角運動量を持つAdSブラックホール解の摂動とDC-Conductivity2013

    • Author(s)
      前田健吾
    • Organizer
      場の理論と弦理論研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-08-22
    • Related Report
      2013 Final Research Report
  • [Presentation] 角運動量を持つAdSブラックホール解の摂動とDC-Conductivity2013

    • Author(s)
      前田健吾
    • Organizer
      場の理論と弦理論研究会
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2013 Annual Research Report
  • [Presentation] AdS 時空における非等方ブラックホールについて2012

    • Author(s)
      前田健吾
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] Singularities in asymptotically anti-de Sitter spacetimes2012

    • Author(s)
      前田健吾
    • Organizer
      第14回北東数学解析研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2012-02-19
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime2012

    • Author(s)
      前田健吾
    • Organizer
      Marcel Grossmann Meeting
    • Place of Presentation
      ストックホルム
    • Related Report
      2012 Research-status Report
  • [Presentation] Study of Anisotropic Black Branes in Asymptotically anti-de Sitter2012

    • Author(s)
      前田健吾
    • Organizer
      Marcel Grossmann Meeting
    • Place of Presentation
      ストックホルム
    • Related Report
      2012 Research-status Report
  • [Presentation] AdS時空における非等方ブラックホールについて2012

    • Author(s)
      前田健吾
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Spatially Modulated Black Holes in AdS/CFT2011

    • Author(s)
      前田健吾
    • Organizer
      日本物理学会
    • Place of Presentation
      弘前大学
    • Year and Date
      2011-09-18
    • Related Report
      2013 Final Research Report 2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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