The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation

2008/03/01 by Jixiang Fu, Shing–Tung Yau · 2 citations
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Black Holes and Theoretical Physics #Superstring theory #Mathematics #Torsion (gastropod) #Pure mathematics #Mathematical analysis #Mathematical physics #Supersymmetry

paper · pdf · doi:10.4310/jdg/1207834550

openalex publication_date 2008/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The purpose of this paper is to solve a problem posed by Strominger in constructing smooth models of superstring theory with flux.These are given by non-Kähler manifolds with torsion.

Citations

• Eleven-dimensional supergravity on a manifold with boundary
• The moduli space of 3-folds withK=0 may nevertheless be irreducible
• Vacuum configurations for superstrings
• On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I

Cited by

• Regularity of fully non-linear elliptic equations on Hermitian manifolds. II
• Shing-Tung Yau [wikipedia]