Fractional Superstrings with Space-Time Critical Dimensions Four and Six

Abstract

We propose possible new string theories based on local world-sheet symmetries corresponding to extensions of the Virasoro algebra by fractional spin currents. They have critical central charges $c=6(K+8)/(K+2)$ and Minkowski space-time dimensions $D=2+16/K$ for $K\ge 2$ an integer. We present evidence for their existence by constructing modular invariant partition functions and the massless particle spectra. The dimension $4$ and $6$ strings have space-time supersymmetry.

9 pages

References in corpus (1)

• Structure Constants of the Fractional Supersymmetry Chiral Algebras

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