Dirac-harmonic maps with torsion

Abstract

We study Dirac-harmonic maps from surfaces to manifolds with torsion, which is motivated from the superstring action considered in theoretical physics. We discuss analytic and geometric properties of such maps and outline an existence result for uncoupled solutions.

References in corpus (5)

• The Srni lectures on non-integrable geometries with torsion
• Dirac-harmonic maps from index theory
• Liouville Theorems for Dirac-Harmonic Maps
• Magnetic Dirac-harmonic maps
• The evolution equations for regularized Dirac-geodesics

Cited by in corpus (13)

• Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
• Energy estimates for the supersymmetric nonlinear sigma model and applications
• The heat flow for the full bosonic string
• On the evolution of regularized Dirac-harmonic Maps from closed surfaces
• A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
• On conservation laws for the supersymmetric sigma model
• Energy methods for Dirac-type equations in two-dimensional Minkowski space
• Harmonic maps with torsion
• On the full bosonic string from Minkowski space to Riemannian manifolds
• Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
• Geometric analysis of the Yang-Mills-Higgs-Dirac model
• Dirac-harmonic maps with potential
• J-holomorphic curves and Dirac-harmonic maps