Infinite-dimensional algebras, sine brackets, and SU(∞) (original) (raw)
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Abstract
We investigate features of the infinite dimensional algebras we have previously introduced, which involve trigonometric functions in their structure constants. We find a realization for them which leads to a basis-independent formulation. A special family of them, the cyclotomic ones, contain SU( N) as invariant subalgebras. In this basis, it is evident by inspection that the algebra of SU(∞) is equivalent to the centerless algebra of SDiff 0 on two-dimensional manifolds. Gauge theories of SU(∞) are thus simply reformulated in terms of surface coordinates.
Publication:
Physics Letters B
Pub Date:
June 1989
DOI:
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