Harmonic Gauss Maps and Self-Dual Equations in String Theory
| dc.creator | Parthasarathy, R. | |
| dc.creator | Viswanathan, K. S. | |
| dc.date | 1994-11-06 | |
| dc.date.accessioned | 2026-07-07T04:20:44Z | |
| dc.date.available | 2026-07-07T04:20:44Z | |
| dc.description | The string world sheet, regarded as Riemann surface, in background $R^3$ and $R^4$ is described by the generalised Gauss map. When the Gauss map is harmonic or equivalently for surfaces of constant mean scalar curvature, we obtain an Abelian self-dual system, using $SO(3)$ and $SO(4)$ gauge fields constructed in our earlier studies. This compliments 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. \vspace{0.2cm} The world sheet in background $R^n, \ n>4$ is described by the generalized Gauss map. It is first shown that when the Gauss map is harmonic, the scalar mean curvature is constant. $SO(n)$ gauge fields are constructed from the geometry of the surface and expressed in terms of the Gauss map. It is shown that the harmonic map satisfies a non-Abelian self-dual system of equations for the gauge group $SO(2)\times SO(n-2)$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9411043 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9411043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54050 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Harmonic Gauss Maps and Self-Dual Equations in String Theory | |
| dc.type | text |