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Qun Chen, J. Jost, Guofang Wang (2007)
Liouville Theorems for Dirac-Harmonic MapsarXiv: Mathematical Physics
Christopher Hull, George Papadopoulos, Paul Townsend (1993)
Potentials for (p, 0) and (1, 1) supersymmetric sigma models with torsionPhysics Letters B, 316
Qun Chen, J. Jost, Guofang Wang, Miaomiao Zhu (2013)
The boundary value problem for Dirac-harmonic mapsJournal of the European Mathematical Society, 15
B. Sharp, Miaomiao Zhu (2013)
Regularity at the free boundary for Dirac-harmonic maps from surfacesCalculus of Variations and Partial Differential Equations, 55
J. Sacks, Karen Uhlenbeck (1981)
The Existence of Minimal Immersions of 2-SpheresAnnals of Mathematics, 113
Qun Chen, J. Jost, Guofang Wang (2007)
Nonlinear Dirac equations on Riemann surfacesAnnals of Global Analysis and Geometry, 33
Matthias Schneider (2008)
Closed Magnetic Geodesics on $S^2$arXiv: Differential Geometry
Mathematisch-naturwissenschaftlichen Fakultat (2013)
The Evolution Equations for Dirac-harmonic Maps
Qun Chen, J. Jost, Guofang Wang (2012)
The maximum principle and the Dirichlet problem for Dirac-harmonic mapsCalculus of Variations and Partial Differential Equations, 47
J. Fuchs, T. Nikolaus, C. Schweigert, K. Waldorf (2009)
Bundle Gerbes and Surface Holonomy
Miaomiao Zhu (2009)
Regularity for weakly Dirac-harmonic maps to hypersurfacesAnnals of Global Analysis and Geometry, 35
F. Béthuel (1992)
Un résultat de régularité pour les solutions de l'équation des surfaces à courbure moyenne prescrite, 314
J Sacks, K Uhlenbeck (1981)
The existence of minimal immersions of $$2$$ 2 -spheresAnn. Math. (2), 113
Michael ter (1984)
Conformally invariant variational integrals and the removability of isolated singularitiesManuscripta Mathematica
T. Rivière (2006)
Conservation laws for conformally invariant variational problemsInventiones mathematicae, 168
Q Chen, J Jost, G Wang, M Zhu (2013)
The boundary value problem for Dirac-harmonic mapsJ. EMS, 15
Qun Chen, J. Jost, Jiayu Li, Guofang Wang (2004)
Dirac-harmonic mapsMathematische Zeitschrift, 254
Deliang Xu, Zhengxiang Chen (2013)
Regularity for Dirac-harmonic map with Ricci type spinor potentialCalculus of Variations and Partial Differential Equations, 46
Liang Zhao (2006)
Energy Identities for Dirac-harmonic MapsCalculus of Variations and Partial Differential Equations, 28
Orlando Alvarez, I. Singer (2001)
Beyond the elliptic genusNuclear Physics, 633
B. Ammann, N. Ginoux (2011)
Dirac-harmonic maps from index theoryCalculus of Variations and Partial Differential Equations, 47
CM Hull, G Papadopoulos, PK Townsend (1993)
Potentials for $$(p,0)$$ ( p , 0 ) and $$(1,1)$$ ( 1 , 1 ) supersymmetric sigma models with torsionPhys. Lett. B, 316
Qun Chen, J. Jost, LI Jiayu, Guofang Wang (2004)
Mathematik in den Naturwissenschaften Leipzig Regularity Theorems and Energy Identities for Dirac-Harmonic Maps
Michael Grüter (1981)
Regularity of weak H-surfaces.Journal für die reine und angewandte Mathematik (Crelles Journal), 1981
V. Cortés (2010)
Handbook of Pseudo-riemannian Geometry and Supersymmetry
Philippe Choné (1995)
A regularity result for critical points of conformally invariant functionalsPotential Analysis, 4
F. Hélein (2002)
Harmonic Maps, Conservation Laws, And Moving Frames
Changyou Wang, Deliang Xu (2008)
Regularity of Dirac-Harmonic MapsInternational Mathematics Research Notices, 2009
(2008)
The evolution equation for closed magnetic geodesics. Dissertation, Universitätsverlag Potsdam
We study a functional, whose critical points couple Dirac-harmonic maps from surfaces with a two form. The critical points can be interpreted as coupling the prescribed mean curvature equation to spinor fields. On the other hand, this functional also arises as part of the supersymmetric sigma model in theoretical physics. In two dimensions it is conformally invariant. We call critical points of this functional magnetic Dirac-harmonic maps. We study geometric and analytic properties of magnetic Dirac-harmonic maps including their regularity and the removal of isolated singularities.
Analysis and Mathematical Physics – Springer Journals
Published: May 16, 2014
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