Exotic Particles and $w_\infty$-Algebras in Two- and High-Dimensional Spaces

Details Exotic Particles and $w_\infty$-Algebras in Two- and High-Dimensional Spaces Exotic Particles and $w_\infty$-Algebras in Two- and High-Dimensional Spaces

2005-05-16

arxiv.org/abs/hep-lat/0505018v2

Int.J.Mod.Phys.A21:4511-4518,2006

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, the fig.2 is changed

Scientific paper

10.1142/S0217751X0603134X

We construct a set of noncommuting translation operators in two and high-dimensional lattices. The algebras they close are $w_{\infty}$-algebras. The construction is based on the introduction of noncommmuting elementary link operators which link two neighborhood sites in the lattice. This kind of operators preserve the braiding nature of exotic particles living basically in two-dimensional space.

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