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Branes, Topology, and Perturbation T...

Lowenstein, Ashton Camill,

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Branes, Topology, and Perturbation Theory in Two-Dimensional Quantum Gravity /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Branes, Topology, and Perturbation Theory in Two-Dimensional Quantum Gravity // Ashton Camill Lowenstein.
作者:	Lowenstein, Ashton Camill,
面頁冊數:	1 electronic resource (230 pages)
附註:	Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
Contained By:	Dissertations Abstracts International85-12B.
標題:	Physics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31332964
ISBN:	9798383057728

Branes, Topology, and Perturbation Theory in Two-Dimensional Quantum Gravity /
Lowenstein, Ashton Camill,

Branes, Topology, and Perturbation Theory in Two-Dimensional Quantum Gravity /Ashton Camill Lowenstein. - 1 electronic resource (230 pages)

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

Random matrix theory offers a powerful toolset to study a variety of two-dimensional quantum gravity and string theories both perturbatively and nonperturbatively. In this thesis we study three classes of matrix models describing general two-dimensional oriented gravity theories, supergravity theories, and unoriented gravity theories. Chapters 1 through 4 contain a review of necessary background material, including string theory, integrable hierarchies and intersection theory, and random matrix theory. In Chapter 5 we study perturbative solutions of two classes of differential equations, known as string equations, describing β = 2 Wigner-Dyson class matrix models and (1 + 2Γ, 2) Altland-Zirnbauer class matrix models. In Chapter 6 we apply these results to operator correlation functions in the open and closed string sectors of the theories. We consider a duality between the open and closed string sectors of these models consisting of a relationship between correlation functions in one sector and the free energy in the other. We use this duality to deepen the understanding of the connection between D-branes and Weil-Petersson volumes, which are important in algebraic geometry and certain gravity theories. Specific examples are considered and compared to existing results in the literature. In Chapter 7 we develop a double scaling procedure in β = 1 Wigner-Dyson class matrix models, which are dual to certain unoriented gravity theories. We compute the leading density of states in two models, and form a conjecture for how to define unoriented JT gravity in a minimal model decomposition.

English

ISBN: 9798383057728Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Unoriented gravity theories

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