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Tree scattering amplitudes of the spin-4/3 fractional superstring. II. The twisted sectors

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1];  [2]
  1. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)
  2. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853 (United States)

The spin-4/3 fractional supestring is characterized by a world-sheet chiral algebra involving spin-4/3 currents. The discussion of the tree-level scattering amplitudes of this theory presented in the preceding paper is expanded to include amplitudes containing two twisted-sector states. These amplitudes are shown to satisfy spurious state decoupling. The restriction to only two external twisted-sector states is due to the absence of an appropriate dimension-one vertex describing the emission of a single twisted-sector state. This is analogous to the old covariant'' formalism of ordinary superstring amplitudes in which an appropriate dimension-one vertex for the emission of a Ramond-sector state is lacking. Examples of tree scattering amplitudes are calculated in a [ital c]=5 model of the spin-4/3 chiral algebra realized in terms of free bosons on the string world sheet. The target space of this model is three-dimensional flat Minkowski space-time and the twisted-sector physical states are fermions in space-time. Since the critical center charge of the spin-4/3 fractional superstring theory is 10, this [ital c]=5 model is not consistent at the string loop level.

OSTI ID:
7206874
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English