A global weak solution to the full bosonic string heat flow

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.

References in corpus (2)

• The heat flow for the full bosonic string
• On the full bosonic string from Minkowski space to Riemannian manifolds

Cited by in corpus (2)

• Harmonic maps with torsion
• Dirac-harmonic maps with potential