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DC Field | Value | Language |
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dc.contributor.advisor | Pufu, Silviu S | |
dc.contributor.author | Iliesiu, Victor Luca Luca | |
dc.contributor.other | Physics Department | |
dc.date.accessioned | 2020-11-20T05:58:28Z | - |
dc.date.available | 2020-11-20T05:58:28Z | - |
dc.date.issued | 2020 | |
dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp01rf55zb756 | - |
dc.description.abstract | Abstract This thesis explores topics in two-dimensional quantum gravity, focusing on the specific model of Jackiw-Teitelboim (JT) gravity and its relation to higher-dimensional black holes (BHs). Such a study is motivated by (i) the fact that JT gravity is a full-fledged theory of quantum gravity and (ii) because problematic features in higher-dimensional gravity, such as those related to black holes or wormholes, can be addressed in two-dimensions. Chapter 2 is based on work with Pufu, Wang, and Verlinde. We propose an exact quantization of JT gravity by formulating the theory as a gauge theory. We find that this theory's partition function matches that of the Schwarzian theory. Observables are also matched: correlation functions of boundary-anchored Wilson lines in the bulk are given by those of bi-local operators in the Schwarzian. Chapter 3 is based on work with Krutthof, Turiaci, and Verlinde. We compute the partition function of JT gravity at finite cutoff in two ways: (i) by evaluating the Wheeler-DeWitt wavefunctional and (ii) by performing the path integral exactly. Both results match the partition function in the Schwarzian theory deformed by the analog of the deformation in $2D$ CFTs, thus, confirming the conjectured holographic interpretation of . In chapter 4, we study JT gravity coupled to Yang-Mills theory. When solely focusing on the contribution of disk topologies, we show that the theory is equivalent to the Schwarzian coupled to a particle moving on the gauge group manifold. When considering the contribution from all genera, we show that the theory is described by a novel double-scaled matrix integral. Chapter 5 is based on work with Turiaci. We answer an open question in BH thermodynamics: does the spectrum of BH masses have a “mass gap” between an extremal black hole and the lightest near-extremal state? We compute the partition function of Reissner-Nordström near-extremal BHs at temperature scales comparable to the conjectured gap. We find that the density of states at fixed charge exhibits no gap; instead, we see a continuum of states at the expected gap energy scale. | |
dc.language.iso | en | |
dc.publisher | Princeton, NJ : Princeton University | |
dc.relation.isformatof | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=http://catalog.princeton.edu> catalog.princeton.edu </a> | |
dc.subject | Black holes | |
dc.subject | Holography | |
dc.subject | Matrix models | |
dc.subject | Quantization | |
dc.subject | Quantum gravity | |
dc.subject | Yang-Mills theory | |
dc.subject.classification | Physics | |
dc.title | On two-dimensional quantum gravity | |
dc.type | Academic dissertations (Ph.D.) | |
Appears in Collections: | Physics |
Files in This Item:
File | Description | Size | Format | |
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Iliesiu_princeton_0181D_13430.pdf | 5.81 MB | Adobe PDF | View/Download |
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