The Majorana representation of spins and the relation between $SU(\infty)$ and $SDiff(S^2)$
| dc.creator | Swain, John | |
| dc.date | 2004-04-30 | |
| dc.date.accessioned | 2026-07-07T04:16:53Z | |
| dc.date.available | 2026-07-07T04:16:53Z | |
| dc.description | The Majorana representation of spin-$\frac{n}{2}$ quantum states by sets of points on a sphere allows a realization of SU(n) acting on such states, and thus a natural action on the two-dimensional sphere $S^2$. This action is discussed in the context of the proposed connection between $SU(\infty)$ and the group $SDiff(S^2)$ of area-preserving diffeomorphisms of the sphere. There is no need to work with a special basis of the Lie algebra of SU(n), and there is a clear geometrical interpretation of the connection between the two groups. It is argued that they are {\it not} isomorphic, and comments are made concerning the validity of approximating groups of area-preserving diffeomorphisms by SU(n). | |
| dc.identifier | https://arxiv.org/abs/hep-th/0405004 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0405004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52542 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Majorana representation of spins and the relation between $SU(\infty)$ and $SDiff(S^2)$ | |
| dc.type | text |