Harmonic Maps and Self-Dual Equations for Immersed Surfaces
| dc.creator | Parthasarathy, R. | |
| dc.creator | Viswanathan, K. S. | |
| dc.date | 1993-10-18 | |
| dc.date.accessioned | 2026-07-07T04:19:45Z | |
| dc.date.available | 2026-07-07T04:19:45Z | |
| dc.description | The immersion of the string world sheet, regarded as a Riemann surface, in $R^3$ and $R^4$ is described by the generalized Gauss map. When the Gauss map is harmonic or equivalently for surfaces of constant mean curvature, we obtain Hitchin's self-dual equations, by using $SO(3)$ and $SO(4)$ gauge fields constructed in our earlier studies. This complements our earlier result that $h\surd g\ =\ 1$ surfaces exhibit Virasaro symmetry. The self-dual system so obtained is compared with self-dual Chern-Simons system and a generalized Liouville equation involving extrinsic geometry is obtained. The immersion in $R^n, \ n>4$ is described by the generalized Gauss map. It is shown that when the Gauss map is harmonic, the mean curvature of the immersed surface is constant. $SO(n)$ gauge fields are constructed from the geometry of the surface and expressed in terms of the Gauss map. It is found Hitchin's self- duality relations for the gauge group $SO(2)\times SO(n-2)$. | |
| dc.description | V5A 1S6,26pages, LaTeX, IMSc/93-44 and SFU.HEP.109/1993 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9310107 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9310107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53691 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Harmonic Maps and Self-Dual Equations for Immersed Surfaces | |
| dc.type | text |