The Wess-Zumino term for a harmonic map

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dc.creatorHitchin, Nigel
dc.date2000-08-04
dc.date.accessioned2026-07-07T04:36:40Z
dc.date.available2026-07-07T04:36:40Z
dc.descriptionWe calculate the Wess-Zumino term $Γ(g)$ 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 $Γ(g)$ is 0 or $π$ and for the 2-torus and $G=SU(2)$ we give a formula involving hyperelliptic integrals.
dc.descriptionLateX, 22 pages
dc.identifierhttps://arxiv.org/abs/math/0008038
dc.identifierhttp://arxiv.org/abs/math/0008038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59680
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C43; 58E20
dc.titleThe Wess-Zumino term for a harmonic map
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