자료유형  

 학위논문

Control Number  

0017162759

International Standard Book Number  

9798382738260

Dewey Decimal Classification Number  

530.1

Main Entry-Personal Name  

Saskowski, Robert J.

Publication, Distribution, etc. (Imprint  

[S.l.] : University of Michigan., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

252 p.

General Note  

Source: Dissertations Abstracts International, Volume: 85-12, Section: B.

General Note  

Advisor: Liu, James T.

Dissertation Note  

Thesis (Ph.D.)--University of Michigan, 2024.

Summary, Etc.  

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.

Subject Added Entry-Topical Term  

Theoretical physics.

Subject Added Entry-Topical Term  

Applied mathematics.

Subject Added Entry-Topical Term  

Quantum physics.

Subject Added Entry-Topical Term  

Computational physics.

Index Term-Uncontrolled  

Supergravity

Index Term-Uncontrolled  

AdS/CFT correspondence

Index Term-Uncontrolled  

Holography

Index Term-Uncontrolled  

Quantum gravity

Index Term-Uncontrolled  

String theory

Added Entry-Corporate Name  

University of Michigan Physics

Host Item Entry  

Dissertations Abstracts International. 85-12B.

Electronic Location and Access  

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Control Number  

joongbu:658648