자료유형  

 학위논문

Control Number  

0016931926

International Standard Book Number  

9798379713416

Dewey Decimal Classification Number  

530.1

Main Entry-Personal Name  

Rios Tascon, Andres.

Publication, Distribution, etc. (Imprint  

[S.l.] : Cornell University., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(284 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

General Note  

Advisor: McAllister, Liam.

Dissertation Note  

Thesis (Ph.D.)--Cornell University, 2023.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약We present some computational advancements in the study of Calabi-Yau manifolds obtained as hypersurfaces in toric varieties and use them to construct realistic string compactifications. We start by discussing CYTools, a software package that collects the code developed over multiple years into an easy-to-use toolkit that allows a wide variety of studies, and makes these advancements available to the string theory community. We then closely examine the procedure to construct Calabi-Yau hypersurfaces to obtain an upper bound for the number of distinct manifolds obtainable with this process, and use our computational tools to study ensembles of the Calabi-Yau manifolds with the largest Hodge numbers. Additionally, we devise a novel approach to use machine learning to predict topological properties of these manifolds accurately and efficiently. Then, we present new developments in computational mirror symmetry. We extend established methods to obtain period integrals and Gopakumar-Vafa invariants in even the most intricate Calabi-Yau manifolds. Finally, we conclude by using all of these computational advancements to obtain explicit Anti-de Sitter vacua where the cosmological constants are exponentially small. Although the sign of the curvature in our constructions does not match the one of our universe, it marks an important milestone in the right direction. We hope that these computational tools will continue to assist in building increasingly realistic compactifications.

Subject Added Entry-Topical Term  

Theoretical physics.

Subject Added Entry-Topical Term  

Computational physics.

Subject Added Entry-Topical Term  

Applied mathematics.

Index Term-Uncontrolled  

Calabi-Yau

Index Term-Uncontrolled  

Compactifications

Index Term-Uncontrolled  

Cytools

Index Term-Uncontrolled  

Phenomenology

Index Term-Uncontrolled  

String theory

Index Term-Uncontrolled  

Toric varieties

Added Entry-Corporate Name  

Cornell University Physics

Host Item Entry  

Dissertations Abstracts International. 84-12B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:642494