BPS states from geometry and geometry from BPS states

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Abstract/Contents

Abstract
Some of the most-studied vacua of string theory are obtained by compactification of the 10d perturbative theories on a compact Calabi-Yau manifold. Such vacua play a central role in our understanding of string dualities, have provided a setting for the development of black hole statistical mechanics, and provide starting points for quasi-realistic string phenomenology. However, in spite of the importance of these manifolds, their defining characteristic -- their Ricci-flat metrics -- has never been determined (except for tori). This is the case even for the simplest of these manifolds -- K3 -- and until recently this provided a significant obstacle to the study of black hole statistical mechanics for many 4d string vacua with half-maximal (N=4) supersymmetry. I explain how the phenomenon of wall crossing can be exploited to solve these problems. I also describe other contexts that naturally relate string theory, geometry, and BPS state counting problems. A recurring theme will be the utility of approaching problems from a number of perspectives.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2019; ©2019
Publication date 2019; 2019
Issuance monographic
Language English

Creators/Contributors

Author Zimet, Maxwell Jordan
Degree supervisor Kachru, Shamit, 1970-
Thesis advisor Kachru, Shamit, 1970-
Thesis advisor Raghu, Srinivas, 1978-
Thesis advisor Shenker, Stephen Hart, 1953-
Degree committee member Raghu, Srinivas, 1978-
Degree committee member Shenker, Stephen Hart, 1953-
Associated with Stanford University, Department of Physics.

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Maxwell Zimet.
Note Submitted to the Department of Physics.
Thesis Thesis Ph.D. Stanford University 2019.
Location electronic resource

Access conditions

Copyright
© 2019 by Maxwell Jordan Zimet
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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