Heterotic orbifolds, reduced rank and $SO(2n + 1)$ characters - Archive ouverte HAL
Article Dans Une Revue International Journal of Modern Physics A Année : 2020

Heterotic orbifolds, reduced rank and $SO(2n + 1)$ characters

Résumé

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for describing in a unified way continuous Wilson lines which parametrize a component of the moduli space, together with discrete deformations responsible for the switch from one component to the other. Applied to a component that contains vacua with SO(2n + 1) gauge-symmetry factors, our approach yields a description of all backgrounds of the component in terms of free-orbifold models. The orbifold generators turn out to act symmetrically or asymmetrically on the internal space, with or without discrete torsion. Our derivations use extensively affine characters of SO(2n + 1). As a by-product, we find a peculiar orbifold description of the heterotic string in 10 dimensions, where all gauge degrees of freedom arise as twisted states, while the untwisted sector reduces to the gravitational degrees of freedom.

Dates et versions

hal-02885683 , version 1 (30-06-2020)

Identifiants

Citer

Hervé Partouche, Balthazar de Vaulchier. Heterotic orbifolds, reduced rank and $SO(2n + 1)$ characters. International Journal of Modern Physics A, 2020, 35 (24), pp.2050132. ⟨10.1142/S0217751X20501328⟩. ⟨hal-02885683⟩
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