On the limiting procedure by which $SDiff(T^2)$ and $SU(\infty)$ are associated

John Swain

paper

On the limiting procedure by which $S D i f f (T^{2})$ and $S U (\infty)$ are associated

arXiv:hep-th/0405002

Abstract

There have been various attempts to identify groups of area-preserving diffeomorphisms of 2-dimensional manifolds with limits of SU(N) as $N \to \infty$ . We discuss the particularly simple case where the manifold concerned is the two-dimensional torus $T^{2}$ 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 $S D i f f (T^{2})$ .

Cited by in corpus (1)

Thoughts on Membranes, Matrices and Non-Commutativity

On the limiting procedure by which SDiff(T2) and SU(∞) are associated

Abstract

Cited by in corpus (1)

On the limiting procedure by which $S D i f f (T^{2})$ and $S U (\infty)$ are associated