Operator algebra of dual resonance models

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Abstract
Properties of a set of operators introduced by Baker, Coon, and Yu are discussed. The operators involve generalizations of harmonic oscillator operators and facilitate the construction of a family of dual resonance models which includes the Veneziano model as a limiting case. Matrix representations of the operators are constructed, and it is shown that the operators have finite norm in contrast with the unboundedness of creation and annihilation operators of the Veneziano model.