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Fractional Superstrings with Space-Time Critical Dimensions Four and Six

Philip C. Argyres·S. -H. Henry Tye
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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 $K\geq2$ 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.

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Philip C. Argyres, S. -H. Henry Tye. 1991-09-07. Fractional Superstrings with Space-Time Critical Dimensions Four and Six. https://doi.org/10.1103/physrevlett.67.3339

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