2017/10/31 by Volker Branding · 3 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Convergence (economics) #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Heat flow #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #String (physics) #math-ph #math.AP #math.DG #math.MP
paper · pdf · doi:10.1007/s00028-018-0462-2
published in Journal of Evolution Equations 18(4), 1819-1841 (Birkhäuser)
arxiv created 2018/07/19 · openalex publication_date 2018/07/19 · arxiv updated 2018/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.