Model-Building for Fractional Superstrings

Abstract

Fractional superstrings are recently-proposed generalizations of the traditional superstrings and heterotic strings. They have critical spacetime dimensions which are less than ten, and in this paper we investigate model-building for the heterotic versions of these new theories. We concentrate on the cases with critical spacetime dimensions four and six, and find that a correspondence can be drawn between the new fractional superstring models and a special subset of the traditional heterotic string models. This allows us to generate the partition functions of the new models, and demonstrate that their number is indeed relatively limited. It also appears that these strings have uniquely natural compactifications to lower dimensions. In particular, the fractional superstring with critical dimension six has a natural interpretation in four-dimensional spacetime.

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References in corpus (3)

• New Jacobi-Like Identities for Z_k Parafermion Characters
• Structure Constants of the Fractional Supersymmetry Chiral Algebras
• Low-Lying States of the Six-Dimensional Fractional Superstring

Cited by in corpus (15)

• 2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States
• Chiral Gauged WZW Theories and Coset Models in Conformal Field Theory
• New Jacobi-Like Identities for Z_k Parafermion Characters
• Central Charge Reduction and Spacetime Statistics in the Fractional Superstring
• Low-Lying States of the Six-Dimensional Fractional Superstring
• Fractional supersymmetric Liouville theory and the multi-cut matrix models
• Aspects of Fractional Superstrings
• Heterotic Parafermionic Superstring
• The Worldsheet Conformal Field Theory of the Fractional Superstring
• Kac and New Determinants for Fractional Superconformal Algebras
• Dynamical Description of Spectral Flow in N=2 Superconformal Field Theories
• On the Worldsheet Formulation of the Six-Dimensional Self-Dual String
• Construction of the K=8 Fractional Superconformal Algebras
• Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors
• The Higher Spin Rectangle