Geometric flows from unified string theories
Differential Geometry
2023-04-06 v1 Analysis of PDEs
Abstract
A survey of new geometric flows motivated by string theories is provided. Their settings can range from complex geometry to almost-complex geometry to symplectic geometry. From the PDE viewpoint, many of them can be viewed as intermediate flows between the Ricci flow and the K\"ahler-Ricci flow, albeit often coupled to flows of additional fields. In particular, a survey is given of joint works of the author with Tristan Collins, Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.
Keywords
Cite
@article{arxiv.2304.02533,
title = {Geometric flows from unified string theories},
author = {Duong H. Phong},
journal= {arXiv preprint arXiv:2304.02533},
year = {2023}
}
Comments
Contribution to Surveys in Differential Geometry, "Forty Years of Ricci flow", edited by H.D. Cao, R. Hamilton, and S.T. Yau