On the geometry of the Strominger system
Name
958836723-MIT.pdf
Description
Full printable version
Size
4.39 MB
Format
Adobe PDF
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Author(s)
Fei, Teng, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Shing-Tung Yau and Victor Guillemin.
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
The Strominger system is a system of partial differential equations describing the geometry of compactifications of heterotic superstrings with flux. Mathematically it can be viewed as a generalization of Ricci-flat metrics on non-Kshler Calabi-Yau 3- folds. In this thesis, I will present some explicit solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include the important local models like C3 as well as both deformed and resolved conifolds. Along the way, I also give a new construction of non-Kihler Calabi-Yau 3-folds and prove a few results in complex geometry.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 89-97).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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