Regularity of Dirac-Harmonic Maps
From MaRDI portal
Publication:3643539
DOI10.1093/imrn/rnp064zbMath1182.58007arXiv0810.1958OpenAlexW2102692037MaRDI QIDQ3643539
Publication date: 9 November 2009
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1958
PDEs in connection with quantum mechanics (35Q40) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Harmonic maps, etc. (58E20)
Related Items (34)
Regularity at the free boundary for Dirac-harmonic maps from surfaces ⋮ From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis ⋮ Partial regularity for a nonlinear sigma model with gravitino in higher dimensions ⋮ Dirac-harmonic maps with potential ⋮ Energy estimates for the supersymmetric nonlinear sigma model and applications ⋮ Dirac-harmonic maps from index theory ⋮ Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow ⋮ A global weak solution of the Dirac-harmonic map flow ⋮ Properties of solutions to A-harmonic system and A-Dirac system ⋮ Coarse regularity of solutions to a nonlinear sigma-model with \(L^p\) gravitino ⋮ Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds ⋮ The evolution equations for regularized Dirac-geodesics ⋮ Regularity for Dirac-harmonic map with Ricci type spinor potential ⋮ The maximum principle and the Dirichlet problem for Dirac-harmonic maps ⋮ The boundary value problem for Dirac-harmonic maps ⋮ Uniqueness of Dirac-harmonic maps from a compact surface with boundary ⋮ Regularity of solutions of the nonlinear sigma model with gravitino ⋮ Nonlinear \(A\)-Dirac equations ⋮ Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem ⋮ Energy methods for Dirac-type equations in two-dimensional Minkowski space ⋮ On conservation laws for the supersymmetric sigma model ⋮ Magnetic Dirac-harmonic maps ⋮ Nonlinear Dirac equations, monotonicity formulas and Liouville theorems ⋮ \(A\)-harmonic equations and the Dirac operator ⋮ A remark on nonlinear Dirac equations ⋮ Dirac-harmonic maps with torsion ⋮ Energy quantization for a nonlinear sigma model with critical gravitinos ⋮ On the evolution of regularized Dirac-harmonic maps from closed surfaces ⋮ On the multiple existence of superquadratic Dirac-harmonic maps into flat tori ⋮ Continuity of almost harmonic maps with the perturbation term in a critical space ⋮ Regularity of Dirac-harmonic maps with \(\lambda\)-curvature term in higher dimensions ⋮ Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds ⋮ Some aspects of Dirac-harmonic maps with curvature term ⋮ Regularity theory on \(A\)-harmonic system and \(A\)-Dirac system
This page was built for publication: Regularity of Dirac-Harmonic Maps