On the limiting procedure by which $SDiff(T^2)$ and $SU(\infty)$ are associated
High Energy Physics - Theory
2007-05-23 v1
Abstract
There have been various attempts to identify groups of area-preserving diffeomorphisms of 2-dimensional manifolds with limits of SU(N) as . We discuss the particularly simple case where the manifold concerned is the two-dimensional torus and argue that the limit, even in the basis commonly used, is ill-behaved and that the large-N limit of SU(N) is much larger than .
Cite
@article{arxiv.hep-th/0405002,
title = {On the limiting procedure by which $SDiff(T^2)$ and $SU(\infty)$ are associated},
author = {John Swain},
journal= {arXiv preprint arXiv:hep-th/0405002},
year = {2007}
}