Spinor-Vector Duality and BSM Phenomenology (2105.07970v1)

Abstract: Spinor--Vector Duality (SVD) has been observed in worldsheet constructions of heterotic--string compactifications. Recently, its realisation in the effective field theory limit of string vacua in six and five dimensions has been investigated. The SVD has been used to construct a string model that allows for an extra family universal $U(1)$, with the standard $E_6$ embedding of its charges, to remain unbroken down to low scales. Anomaly cancellation of the extra $U(1)$ charges mandates the existence of additional matter states at the extra $U(1)$ breaking scale, which affects precision measurements of Standard Model parameters. I discuss the construction of non-supersymmetric sting vacua and modular maps'' akin to the spacetime supersymmetry map. Suchmodular maps'' provide a glimpse into the enormous symmetry structure underlying the entire space of perturbative string vacua that is yet to be uncovered.