The boundary value problem for Dirac-harmonic maps

Chen, Qun, et al. "The boundary value problem for Dirac-harmonic maps." Journal of the European Mathematical Society 015.3 (2013): 997-1031. <http://eudml.org/doc/277200>.

@article{Chen2013,
abstract = {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 manifold. We show that a weakly Dirac-harmonic map is smooth in the interior of the domain. We also prove regularity results for Dirac-harmonic maps at the boundary when they solve an appropriate boundary value problem which is the mathematical interpretation of the D-branes of superstring theory.},
author = {Chen, Qun, Jost, Jürgen, Wang, Guofang, Zhu, Miaomiao},
journal = {Journal of the European Mathematical Society},
keywords = {Dirac-harmonic map; regularity; boundary value; Dirac-harmonic map; regularity; boundary value},
language = {eng},
number = {3},
pages = {997-1031},
publisher = {European Mathematical Society Publishing House},
title = {The boundary value problem for Dirac-harmonic maps},
url = {http://eudml.org/doc/277200},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Chen, Qun
AU - Jost, Jürgen
AU - Wang, Guofang
AU - Zhu, Miaomiao
TI - The boundary value problem for Dirac-harmonic maps
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 3
SP - 997
EP - 1031
AB - 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 manifold. We show that a weakly Dirac-harmonic map is smooth in the interior of the domain. We also prove regularity results for Dirac-harmonic maps at the boundary when they solve an appropriate boundary value problem which is the mathematical interpretation of the D-branes of superstring theory.
LA - eng
KW - Dirac-harmonic map; regularity; boundary value; Dirac-harmonic map; regularity; boundary value
UR - http://eudml.org/doc/277200
ER -