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 Z4 parafermionic right-movers combine in a new heterotic superstring, more constrained than the old one, yet equally applicable to physics.
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