Analysis of Dual Resonance Models
- 15 September 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 2 (6), 973-979
- https://doi.org/10.1103/physrevd.2.973
Abstract
The representations of the noncompact group are discussed with regard to applications to dual resonance models. The Gliozzi operators are constructed from a standard differential representation of . We point out that the delicate limiting procedure appearing in the recent literature has its group-theoretical basis in the fact that , unlike its compact counterpart , has no nontrivial unitary spin-0 representation. We further note that the vertex appearing in the model effectively transforms as the spin- representation of the continuous class, exceptional interval, of . The -point dual amplitude then appears as the coupling of such vertices to the identity. Finally, we discuss the classification of the states in the model under the group. A complete classification in terms of is shown to break down at on and below the fourth daughter trajectory.
Keywords
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