On the Initial-Boundary Value Problem for Harmonic Maps from the 2-Dimensional Minkowski Space.
Gu Chaohao (1980/81)
Manuscripta mathematica
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Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian...
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