Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$

Details Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$ Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$

1993-11-23

arxiv.org/abs/hep-th/9311142v1

JETP Lett. 60 (1994) 225-234

Physics

High Energy Physics

High Energy Physics - Theory

ITEP-M-7/93 (11 pages)

Scientific paper

Non-abelian coordinate ring of $U_q(SL(N))$ (quantum deformation of the algebra of functions) for $N=2,3$ is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fashion. Generalizations to $N>3$ and Kac-Moody algebras are not discussed but look straightforward.

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