Representation of SU(infinity) Algebra for Matrix Models

Kitsunezaki, Naofumi; Uehara, Shozo

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High Energy Physics - Theory

Title: Representation of SU(infinity) Algebra for Matrix Models

Authors: Naofumi Kitsunezaki, Shozo Uehara

(Submitted on 18 Jun 2002 (v1), last revised 6 Aug 2002 (this version, v2))

Abstract: 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.

Comments:	8 pages
Subjects:	High Energy Physics - Theory (hep-th)
Journal reference:	JHEP 0210 (2002) 024
DOI:	10.1088/1126-6708/2002/10/024
Report number:	DPNU-02-18
Cite as:	arXiv:hep-th/0206157
	(or arXiv:hep-th/0206157v2 for this version)

Submission history

From: Naofumi Kitsunezaki [view email]
[v1] Tue, 18 Jun 2002 09:28:46 GMT (9kb)
[v2] Tue, 6 Aug 2002 06:42:16 GMT (9kb)

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