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Explorations in Precision Holography and Higher-Derivative Supergravity
Explorations in Precision Holography and Higher-Derivative Supergravity
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152051
- ISBN
- 9798382738260
- DDC
- 530.1
- 서명/저자
- Explorations in Precision Holography and Higher-Derivative Supergravity
- 발행사항
- [Sl] : University of Michigan, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 252 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Liu, James T.
- 학위논문주기
- Thesis (Ph.D.)--University of Michigan, 2024.
- 초록/해제
- 요약This thesis explores topics related to the study of quantum gravity, with a focus on precision holography and higher-derivative supergravity. First, we study subleading corrections to the free energy of a particular 3D \uD835\uDCDD = 3 Chern-Simons-matter theory found by Gaiotto and Tomasiello, which is given by a matrix model after supersymmetric localization. This theory is dual to massive IIA supergravity on AdS4 x ℂℙ3 , and consequently, the structure of subleading corrections to the field theory naturally elucidates the higher-derivative corrections to the gravity dual. We extract the first order of corrections to the free energy using resolvent methods, and our results imply that particular terms in the supergravity action should vanish on-shell.Next, we consider the "unreasonable effectiveness" of five-dimensional minimal gauged supergravity. There are three independent supersymmetric four-derivative terms that one can add to the action; nevertheless, after going on-shell (or, equivalently, after a field redefinition that pushes the off-shell discrepancies to six-derivative order), there is a unique supersymmetric invariant.Third, we consider the effect of higher-derivative corrections in holographic renormalization group flows across dimensions. In particular, we construct a local holographic c-function out of metric functions and show its monotonicity via the Null Energy Condition. We also construct a c-function from the entanglement entropy for flows with a CFT2 IR fixed point, and we show that such flows are monotonic.Finally, we consider consistent truncations of four-derivative heterotic supergravity. In particular, we show that reducing both on an n-dimensional torus Tn or on S3 and truncating the vector multiplets is indeed a consistent truncation at the four-derivative level. Moreover, we find examples of two-derivative consistent truncations which fail to extend to four-derivative ones.
- 일반주제명
- Theoretical physics
- 일반주제명
- Applied mathematics
- 일반주제명
- Quantum physics
- 일반주제명
- Computational physics
- 키워드
- Supergravity
- 키워드
- Holography
- 키워드
- Quantum gravity
- 키워드
- String theory
- 기타저자
- University of Michigan Physics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■007cr#unu||||||||
■020 ▼a9798382738260
■035 ▼a(MiAaPQ)AAI31348859
■035 ▼a(MiAaPQ)umichrackham005505
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aSaskowski, Robert J.
■24510▼aExplorations in Precision Holography and Higher-Derivative Supergravity
■260 ▼a[Sl]▼bUniversity of Michigan▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a252 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Liu, James T.
■5021 ▼aThesis (Ph.D.)--University of Michigan, 2024.
■520 ▼aThis thesis explores topics related to the study of quantum gravity, with a focus on precision holography and higher-derivative supergravity. First, we study subleading corrections to the free energy of a particular 3D \uD835\uDCDD = 3 Chern-Simons-matter theory found by Gaiotto and Tomasiello, which is given by a matrix model after supersymmetric localization. This theory is dual to massive IIA supergravity on AdS4 x ℂℙ3 , and consequently, the structure of subleading corrections to the field theory naturally elucidates the higher-derivative corrections to the gravity dual. We extract the first order of corrections to the free energy using resolvent methods, and our results imply that particular terms in the supergravity action should vanish on-shell.Next, we consider the "unreasonable effectiveness" of five-dimensional minimal gauged supergravity. There are three independent supersymmetric four-derivative terms that one can add to the action; nevertheless, after going on-shell (or, equivalently, after a field redefinition that pushes the off-shell discrepancies to six-derivative order), there is a unique supersymmetric invariant.Third, we consider the effect of higher-derivative corrections in holographic renormalization group flows across dimensions. In particular, we construct a local holographic c-function out of metric functions and show its monotonicity via the Null Energy Condition. We also construct a c-function from the entanglement entropy for flows with a CFT2 IR fixed point, and we show that such flows are monotonic.Finally, we consider consistent truncations of four-derivative heterotic supergravity. In particular, we show that reducing both on an n-dimensional torus Tn or on S3 and truncating the vector multiplets is indeed a consistent truncation at the four-derivative level. Moreover, we find examples of two-derivative consistent truncations which fail to extend to four-derivative ones.
■590 ▼aSchool code: 0127.
■650 4▼aTheoretical physics
■650 4▼aApplied mathematics
■650 4▼aQuantum physics
■650 4▼aComputational physics
■653 ▼aSupergravity
■653 ▼aAdS/CFT correspondence
■653 ▼aHolography
■653 ▼aQuantum gravity
■653 ▼aString theory
■690 ▼a0753
■690 ▼a0599
■690 ▼a0216
■690 ▼a0364
■71020▼aUniversity of Michigan▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0127
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162759▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
