On the geometry of the Strominger system

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mathematics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2016

Author dc:creator

• Fei, Teng, Ph. D. Massachusetts Institute of Technology

Advisor dc:contributor.advisor

• Shing-Tung Yau and Victor Guillemin.

• Mathematics.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/104598

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/104598