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MiS Preprint
44/2004
Dirac-Wave Maps
Xiaoli Han and Jürgen Jost
Abstract
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_{R^{1+1}}[|d\phi|^2+ \langle \psi,D\psi\rangle]$. In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-wave maps. We prove that there exists global solution for the Cauchy data.