On the geometry of the Strominger system
Author(s)
Fei, Teng, Ph. D. Massachusetts Institute of Technology
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Other Contributors
Massachusetts Institute of Technology. Department of Mathematics.
Advisor
Shing-Tung Yau and Victor Guillemin.
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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).
Date issued
2016Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Massachusetts Institute of Technology
Keywords
Mathematics.