The Wess-Zumino term for a harmonic map
Hitchin, Nigel
arXiv, 0008038 / Harvested from arXiv
Text on arXiv
We calculate the Wess-Zumino term $\Gamma(g)$ for a harmonic map $g$ of a closed surface to a compact, simply connected, simple Lie group $G$ in terms of the energy and the holonomy of the Chern-Simons line bundle on the moduli space of flat $G$-connections. In the case of the 2-sphere we deduce that $\Gamma(g)$ is 0 or $\pi$ and for the 2-torus and $G=SU(2)$ we give a formula involving hyperelliptic integrals.
Publié le : 2000-08-04
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C43,  58E20 
@article{0008038,
     author = {Hitchin, Nigel},
     title = {The Wess-Zumino term for a harmonic map},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008038}
}

Hitchin, Nigel. The Wess-Zumino term for a harmonic map. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008038/