New infinite-dimensional algebras, sine brackets, and SU (infinity)
Conference
·
OSTI ID:5897294
We investigate the infinite dimensional algebras we have previously introduced, which involve trigonometric functions in their structure constants. We find a realization for them which provides a basis-independent formulation, identified with the algebra of sine brackets. 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(infinity) is equivalent to the centerless algebra of SDiff/sub 0/ on two-dimensional manifolds. Gauge theories of SU(infinity) are thus simply reformulated in terms of surface (sheet) coordinates. Spacetime-independent configurations of their gauge fields describe strings through the quadratic Schild action. 11 refs.
- Research Organization:
- Argonne National Lab., IL (USA). High Energy Physics Div.
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 5897294
- Report Number(s):
- ANL-HEP-CP-89-36; CONF-8903130-1; ON: DE89013178
- Country of Publication:
- United States
- Language:
- English
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