# The Majorana representation of spins and the relation between $SU(\infty)$ and $SDiff(S^2)$

@article{Swain2004TheMR, title={The Majorana representation of spins and the relation between \$SU(\infty)\$ and \$SDiff(S^2)\$}, author={John D. Swain}, journal={arXiv: High Energy Physics - Theory}, year={2004} }

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…

## One Citation

### Majorana representation of symmetric multiqubit states

- PhysicsQuantum Inf. Process.
- 2012

A detailed description of the Majorana representation of pure symmetric states and its applicability in investigating various aspects of multiparticle entanglement is presented.

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