On generalized fractional superstring theory

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We extend the work of Argyres and Tye (1991 Phys. Rev. Lett. 67 3339) on fractional superstrings established for 0264-9381/14/8/007/img1 to higher-dimensional parafermionic cosets. We derive the generic formula for the critical spacetime dimensions and the corresponding critical central charges for the more general 0264-9381/14/8/007/img2 coset 0264-9381/14/8/007/img3 We also show that only the cosets 0264-9381/14/8/007/img4 and 0264-9381/14/8/007/img5 allow one to build critical (N,k)-string models. Other features are also discussed.

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