Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors

Details Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors

1993-10-20

arxiv.org/abs/hep-th/9310131v1

Phys.Rev. D49 (1994) 5326-5348

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 4 figures, latex, IASSNS-HEP-93/57, CLNS-92/1176

Scientific paper

10.1103/PhysRevD.49.5326

Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by the spin-4/3 fractional superconformal algebra---a parafermionic algebra studied by Zamolodchikov and Fateev involving chiral spin-4/3 currents on the world-sheet in addition to the stress-energy tensor. Examples of tree scattering amplitudes are calculated in an explicit c=5 representation of this fractional superconformal 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 with a level-2 Kac-Moody so(2,1) internal symmetry, and has bosons and fermions in its spectrum. Its closed string version contains a graviton in its spectrum. Tree-level unitarity (i.e., the no-ghost theorem for space-time bosonic physical states) can be shown for this model. Since the critical central charge of the spin-4/3 fractional superstring theory is 10, this c=5 representation cannot be consistent at the string loop level. The existence of a critical fractional superstring containing a four-dimensional space-time remains an open question.

Affiliated with

Also associated with

No associations

Rating

Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-262346