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Holographic Renormalization Group and Stress Tensor Operators
Holographic Renormalization Group and Stress Tensor Operators
Holographic Renormalization Group and Stress Tensor Operators

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자료유형  
 학위논문 서양
최종처리일시  
20250211151116
ISBN  
9798382202549
DDC  
530.1
저자명  
Ebert, Stephen.
서명/저자  
Holographic Renormalization Group and Stress Tensor Operators
발행사항  
[Sl] : University of California, Los Angeles, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
503 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-10, Section: B.
주기사항  
Advisor: Kraus, Per J.;D'Hoker, Eric.
학위논문주기  
Thesis (Ph.D.)--University of California, Los Angeles, 2024.
초록/해제  
요약The holographic duality, often coined the AdS/CFT correspondence, conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and quantum exploration due to their unique characteristics, notably the absence of propagating bulk degrees of freedom and the presence of only boundary degrees of freedom, distinguishing them from higher-dimensional counterparts. These gravitational theories exhibit complex interactions when the bulk spacetime has a finite size, regulated by Zamolodchikov's double-trace irrelevant TT̄̄ operator. This thesis aims to gain a holographic understanding of pure three-dimensional AdS3 gravity and JT gravity under the influence of the TT̄ deformation. Under a finite radial cutoff, these theories exhibit perturbative behavior that implies the emergence of the Nambu-Goto action for the corresponding boundary graviton action. We also conducted semi-classical calculations of observables related to finite-cutoff gravity and its dual TT̄-deformed CFT description, including correlation functions involving stress tensors and gravitational Wilson lines, along with an analysis of their supersymmetric extensions. Additionally, we explored the implications of general stress tensor deformations within field-theoretic and holographic settings.
일반주제명  
Theoretical physics
일반주제명  
Physics
일반주제명  
Quantum physics
키워드  
Quantum gravity
키워드  
Stress tensors
키워드  
Holographic duality
키워드  
Gravitational theories
기타저자  
University of California, Los Angeles Physics 0666
기본자료저록  
Dissertations Abstracts International. 85-10B.
전자적 위치 및 접속  
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MARC

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■020    ▼a9798382202549
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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530.1
■1001  ▼aEbert,  Stephen.
■24510▼aHolographic  Renormalization  Group  and  Stress  Tensor  Operators
■260    ▼a[Sl]▼bUniversity  of  California,  Los  Angeles▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a503  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-10,  Section:  B.
■500    ▼aAdvisor:  Kraus,  Per  J.;D'Hoker,  Eric.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  Los  Angeles,  2024.
■520    ▼aThe  holographic  duality,  often  coined  the  AdS/CFT  correspondence,  conjectures  a  relation  between  strongly  coupled  quantum  systems  and  quantum  gravity  in  higher-dimensional  spacetimes.  Gravitational  theories  in  two  and  three  dimensions  are  meaningful  examples  for  classical  and  quantum  exploration  due  to  their  unique  characteristics,  notably  the  absence  of  propagating  bulk  degrees  of  freedom  and  the  presence  of  only  boundary  degrees  of  freedom,  distinguishing  them  from  higher-dimensional  counterparts.  These  gravitational  theories  exhibit  complex  interactions  when  the  bulk  spacetime  has  a  finite  size,  regulated  by  Zamolodchikov's  double-trace  irrelevant  TT̄̄  operator.  This  thesis  aims  to  gain  a  holographic  understanding  of  pure  three-dimensional  AdS3  gravity  and  JT  gravity  under  the  influence  of  the  TT̄  deformation.  Under  a  finite  radial  cutoff,  these  theories  exhibit  perturbative  behavior  that  implies  the  emergence  of  the  Nambu-Goto  action  for  the  corresponding  boundary  graviton  action.  We  also  conducted  semi-classical  calculations  of  observables  related  to  finite-cutoff  gravity  and  its  dual  TT̄-deformed  CFT  description,  including  correlation  functions  involving  stress  tensors  and  gravitational  Wilson  lines,  along  with  an  analysis  of  their  supersymmetric  extensions.  Additionally,  we  explored  the  implications  of  general  stress  tensor  deformations  within  field-theoretic  and  holographic  settings.
■590    ▼aSchool  code:  0031.
■650  4▼aTheoretical  physics
■650  4▼aPhysics
■650  4▼aQuantum  physics
■653    ▼aQuantum  gravity
■653    ▼aStress  tensors
■653    ▼aHolographic  duality
■653    ▼aGravitational  theories
■690    ▼a0753
■690    ▼a0599
■690    ▼a0605
■71020▼aUniversity  of  California,  Los  Angeles▼bPhysics  0666.
■7730  ▼tDissertations  Abstracts  International▼g85-10B.
■790    ▼a0031
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160786▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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