본문

서브메뉴

Aspects of Symmetry for Flat Space Holography
Aspects of Symmetry for Flat Space Holography
Aspects of Symmetry for Flat Space Holography

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202103514
ISBN  
9798280719293
DDC  
530
저자명  
Melton, Walker Bruce.
서명/저자  
Aspects of Symmetry for Flat Space Holography
발행사항  
[Sl] : Harvard University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
286 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
주기사항  
Advisor: Strominger, Andrew.
학위논문주기  
Thesis (Ph.D.)--Harvard University, 2025.
초록/해제  
요약A central goal of modern high energy theory is to understand the structure of holographic dualities beyond asymptotically anti-de Sitter spacetimes. In asymptotically flat spacetimes, holographic dualities are expected to relate scattering amplitudes to correlation functions in a lower-dimensional theory living on the celestial sphere. However, it has proven challenging to construct examples of boundary theories with the full symmetry group of quantum gravity in flat spacetimes. In this thesis, we study how these bulk symmetries can emerge from lower-dimensional conformal field theories. After extending the celestial dictionary to (2,2)-signature Klein space, we show that fully Poincare-invariant scattering amplitudes can emerge from building blocks of 2D CFTs. Next, we study how breaking translation invariance modifies the dual theory. We relate gluon scattering amplitudes in the presence of a translation-invariance breaking source to fundamental building blocks of the AdS/CFT correspondence. We then show that these translation-breaking backgrounds centrally extend the soft algebra of the dual theory, and use this to generate toy examples of celestial dualities for self-dual Yang-Mills with broken translation invariance. Finally, we study novel ways for Poincare invariance to emerge from a lower-dimensional CFT. After showing that translation-invariant theories can emerge from entangled states in theories without translation invariance, we demonstrate that translation-invariant scattering amplitudes can be extracted from linear combinations of smooth CFT correlation functions. Ultimately, we construct an example where gluon scattering amplitudes can be extracted from a simple lower-dimensional theory.
일반주제명  
Physics
일반주제명  
Theoretical physics
일반주제명  
Applied physics
키워드  
Holography
키워드  
Scattering amplitudes
키워드  
Dual theory
키워드  
Klein space
기타저자  
Harvard University Physics
기본자료저록  
Dissertations Abstracts International. 86-12B.
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

 008260126s2025        us                              c    eng  d
■001000017357455
■00520260202103514
■006m          o    d                
■007cr#unu||||||||
■020    ▼a9798280719293
■035    ▼a(MiAaPQ)AAI32037976
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530
■1001  ▼aMelton,  Walker  Bruce.▼0(orcid)0000-0003-2723-7633
■24510▼aAspects  of  Symmetry  for  Flat  Space  Holography
■260    ▼a[Sl]▼bHarvard  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a286  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  B.
■500    ▼aAdvisor:  Strominger,  Andrew.
■5021  ▼aThesis  (Ph.D.)--Harvard  University,  2025.
■520    ▼aA  central  goal  of  modern  high  energy  theory  is  to  understand  the  structure  of  holographic  dualities  beyond  asymptotically  anti-de  Sitter  spacetimes.  In  asymptotically  flat  spacetimes,  holographic  dualities  are  expected  to  relate  scattering  amplitudes  to  correlation  functions  in  a  lower-dimensional  theory  living  on  the  celestial  sphere.  However,  it  has  proven  challenging  to  construct  examples  of  boundary  theories  with  the  full  symmetry  group  of  quantum  gravity  in  flat  spacetimes.  In  this  thesis,  we  study  how  these  bulk  symmetries  can  emerge  from  lower-dimensional  conformal  field  theories.  After  extending  the  celestial  dictionary  to  (2,2)-signature  Klein  space,  we  show  that  fully  Poincare-invariant  scattering  amplitudes  can  emerge  from  building  blocks  of  2D  CFTs.  Next,  we  study  how  breaking  translation  invariance  modifies  the  dual  theory.  We  relate  gluon  scattering  amplitudes  in  the  presence  of  a  translation-invariance  breaking  source  to  fundamental  building  blocks  of  the  AdS/CFT  correspondence.  We  then  show  that  these  translation-breaking  backgrounds  centrally  extend  the  soft  algebra  of  the  dual  theory,  and  use  this  to  generate  toy  examples  of  celestial  dualities  for  self-dual  Yang-Mills  with  broken  translation  invariance.  Finally,  we  study  novel  ways  for  Poincare  invariance  to  emerge  from  a  lower-dimensional  CFT.  After  showing  that  translation-invariant  theories  can  emerge  from  entangled  states  in  theories  without  translation  invariance,  we  demonstrate  that  translation-invariant  scattering  amplitudes  can  be  extracted  from  linear  combinations  of  smooth  CFT  correlation  functions.  Ultimately,  we  construct  an  example  where  gluon  scattering  amplitudes  can  be  extracted  from  a  simple  lower-dimensional  theory.
■590    ▼aSchool  code:  0084.
■650  4▼aPhysics
■650  4▼aTheoretical  physics
■650  4▼aApplied  physics
■653    ▼aHolography
■653    ▼aScattering  amplitudes
■653    ▼aDual  theory
■653    ▼aKlein  space
■690    ▼a0605
■690    ▼a0753
■690    ▼a0215
■71020▼aHarvard  University▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g86-12B.
■790    ▼a0084
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357455▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

미리보기

내보내기

chatGPT토론

Ai 추천 관련 도서


    신착도서 더보기
    최근 3년간 통계입니다.

    소장정보

    • 예약
    • 소재불명신고
    • 나의폴더
    • 우선정리요청
    • 비도서대출신청
    • 야간 도서대출신청
    소장자료
    등록번호 청구기호 소장처 대출가능여부 대출정보
    TF17053 전자도서 대출가능 마이폴더 부재도서신고 비도서대출신청 야간 도서대출신청

    * 대출중인 자료에 한하여 예약이 가능합니다. 예약을 원하시면 예약버튼을 클릭하십시오.

    해당 도서를 다른 이용자가 함께 대출한 도서

    관련 인기도서

    로그인 후 이용 가능합니다.