Fractional Superstrings with Space-Time Critical Dimensions Four and Six

Details Fractional Superstrings with Space-Time Critical Dimensions Four and Six Fractional Superstrings with Space-Time Critical Dimensions Four and Six

1991-09-02

arxiv.org/abs/hep-th/9109001v2

Phys.Rev.Lett. 67 (1991) 3339-3342

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1103/PhysRevLett.67.3339

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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