Representation of SU(infinity) Algebra for Matrix Models

Details Representation of SU(infinity) Algebra for Matrix Models Representation of SU(infinity) Algebra for Matrix Models

2002-06-18

arxiv.org/abs/hep-th/0206157v2

JHEP 0210 (2002) 024

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1088/1126-6708/2002/10/024

We investigate how the matrix representation of SU(N) algebra approaches that
of the Poisson algebra in the large N limit. In the adjoint representation, the
(N^2-1) times (N^2-1) matrices of the SU(N) generators go to those of the
Poisson algebra in the large N limit. However, it is not the case for the N
times N matrices in the fundamental representation.

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