• Corpus ID: 117221413

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

  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},
  • J. Swain
  • Published 30 April 2004
  • Mathematics
  • arXiv: High Energy Physics - Theory
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… 
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Majorana representation of symmetric multiqubit states

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



\O n the l i m i ti ng procedure by w hi ch SD iff(T 2 ) and SU (1 ) are associ ated

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