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A Defective Approach to the Conformal Bootstrap
A Defective Approach to the Conformal Bootstrap
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152801
- ISBN
- 9798384094074
- DDC
- 530.1
- 서명/저자
- A Defective Approach to the Conformal Bootstrap
- 발행사항
- [Sl] : University of Washington, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 157 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
- 주기사항
- Advisor: Fidkowski, Lukasz.
- 학위논문주기
- Thesis (Ph.D.)--University of Washington, 2024.
- 초록/해제
- 요약Defects are an inherent part of statistical and condensed matter systems in the real world. At criticality, the problem of describing the interplay of defect and bulk degrees of freedom requires the application of state-of-the-art techniques in quantum field theory. When the bulk is described by a conformal field theory, the problem becomes especially rich due to the structure of consistency conditions following from conformal invariance. In this thesis, we develop a new set of numerical conformal bootstrap tools to constrain aspects of CFTs in the presence of defects of various kinds, and in various spacetime dimensions. We first devise a general technique for studying the consequences of 't Hooft anomalies in two dimensional conformal field theories, which we use to quantify the general result that anomalies guarantee low-energy, charged degrees of freedom. The approach combines the constraints of modular invariance and crossing symmetry of symmetry defect operators. We then demonstrate a new way to study endable line defects in CFTs in any dimension in a way that rigorously incorporates aspects of the bulk CFT data. We study the particular case of the pinning field defect of the 3d Ising CFT, deriving rigorous bounds on a number of quantities that characterize it.
- 일반주제명
- Theoretical physics
- 일반주제명
- Condensed matter physics
- 일반주제명
- Statistical physics
- 일반주제명
- Physics
- 키워드
- Anomalies
- 기타저자
- University of Washington Physics
- 기본자료저록
- Dissertations Abstracts International. 86-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
■007cr#unu||||||||
■020 ▼a9798384094074
■035 ▼a(MiAaPQ)AAI31556585
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aLanzetta, Ryan A.
■24512▼aA Defective Approach to the Conformal Bootstrap
■260 ▼a[Sl]▼bUniversity of Washington▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a157 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-03, Section: B.
■500 ▼aAdvisor: Fidkowski, Lukasz.
■5021 ▼aThesis (Ph.D.)--University of Washington, 2024.
■520 ▼aDefects are an inherent part of statistical and condensed matter systems in the real world. At criticality, the problem of describing the interplay of defect and bulk degrees of freedom requires the application of state-of-the-art techniques in quantum field theory. When the bulk is described by a conformal field theory, the problem becomes especially rich due to the structure of consistency conditions following from conformal invariance. In this thesis, we develop a new set of numerical conformal bootstrap tools to constrain aspects of CFTs in the presence of defects of various kinds, and in various spacetime dimensions. We first devise a general technique for studying the consequences of 't Hooft anomalies in two dimensional conformal field theories, which we use to quantify the general result that anomalies guarantee low-energy, charged degrees of freedom. The approach combines the constraints of modular invariance and crossing symmetry of symmetry defect operators. We then demonstrate a new way to study endable line defects in CFTs in any dimension in a way that rigorously incorporates aspects of the bulk CFT data. We study the particular case of the pinning field defect of the 3d Ising CFT, deriving rigorous bounds on a number of quantities that characterize it.
■590 ▼aSchool code: 0250.
■650 4▼aTheoretical physics
■650 4▼aCondensed matter physics
■650 4▼aStatistical physics
■650 4▼aPhysics
■653 ▼aAnomalies
■653 ▼aConformal field theory
■653 ▼aConformal bootstrap tools
■653 ▼aQuantum field theory
■690 ▼a0753
■690 ▼a0611
■690 ▼a0217
■690 ▼a0605
■71020▼aUniversity of Washington▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-03B.
■790 ▼a0250
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163851▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
