Heterotic Parafermionic Superstring

Abstract

Superstrings have been postulated based on parafermionic partition functions which permit spacetime supersymmetry by generalized Jacobi identities. A comprehensive search finds new such identities. Quadrilateral anomaly cancellation gives constraints on allowed chiral fermions. Bosonic left-movers and $Z_4$ parafermionic right-movers combine in a new heterotic superstring, more constrained than the old one, yet equally applicable to physics.

13 pages, IFP-440-UNC

References in corpus (2)

• Model-Building for Fractional Superstrings
• Low-Lying States of the Six-Dimensional Fractional Superstring

Cited by in corpus (7)

• Central Charge Reduction and Spacetime Statistics in the Fractional Superstring
• Kac and New Determinants for Fractional Superconformal Algebras
• The Worldsheet Conformal Field Theory of the Fractional Superstring
• Twisted Parafermions
• On the Worldsheet Formulation of the Six-Dimensional Self-Dual String
• Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors
• $A_2^{(2)}$ Parafermions: A New Conformal Field Theory