Aspects of Fractional Superstrings

Details Aspects of Fractional Superstrings Aspects of Fractional Superstrings

1993-02-16

arxiv.org/abs/hep-th/9302071v5

Commun.Math.Phys. 167 (1995) 155-182

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, CALT-68-1756 Revisions to match form to appear in Comm. Math. Phys. Use standard TeX. Derivation of affine partition

Scientific paper

10.1007/BF02099356

We investigate some issues relating to recently proposed fractional superstring theories with $D_{\rm critical}<10$. Using the factorization approach of Gepner and Qiu, we systematically rederive the partition functions of the $K=4,\, 8,$ and $16$ theories and examine their spacetime supersymmetry. Generalized GSO projection operators for the $K=4$ model are found. Uniqueness of the twist field, $\phi^{K/4}_{K/4}$, as source of spacetime fermions is demonstrated. Last, we derive a linear (rather than quadratic) relationship between the required conformal anomaly and the conformal dimension of the supercurrent ghost.

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