Representation of SU(infinity) Algebra for Matrix Models

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.

8 pages

References in corpus (4)

• Supermatrix Models
• Noncommutative String Worldsheets from Matrix Models
• Why Matrix theory works for oddly shaped membranes
• Large-N behaviors of the IIB matrix model and the regularized Schild models

Cited by in corpus (1)

• $W_{\infty }$ Algebras, Hawking Radiation and Information Retention by Stringy Black Holes