A global weak solution to the full bosonic string heat flow
Differential Geometry
2018-12-11 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove the existence of a unique global weak solution to the full bosonic string heat flow from closed Riemannian surfaces to an arbitrary target under smallness conditions on the two-form and the scalar potential. The solution is smooth with the exception of finitely many singular points. Finally, we discuss the convergence of the heat flow and obtain a new existence result for critical points of the full bosonic string action.
Keywords
Cite
@article{arxiv.1710.09242,
title = {A global weak solution to the full bosonic string heat flow},
author = {Volker Branding},
journal= {arXiv preprint arXiv:1710.09242},
year = {2018}
}