Geometric Partial Differential Equations from Unified String Theories

Abstract

An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-Kähler geometry and the theory of non-linear partial differential equations. In particular, a survey is given of joint works of the author with Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.

Contribution to the Proceedings of the ICCM 2018, Taipei, Taiwan, 22 pages

References in corpus (3)

• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior
• Fu-Yau Hessian Equations