Standard Model Embedding and Holonomy Bounds in Scalar–Vector–Spinor Effective Field Theory
Year: 2026
Type: article
Abstract: We develop the Standard Model matching problem in scalar–vector–spinor effective field theory by separating spacetime Clifford structure, internal gauge representations and compact spectral thresholds. On a single complex irreducible module of , the commutant of the proper Lorentz action is Abelian and cannot carry the Standard Model non-Abelian factors. An explicit internal multiplicity space instead gives a commuting, anomaly-free representation with quadratic indices and . The familiar weak-angle boundary value then follows only after imposing a common gauge kinetic trace. For positive-norm vectorlike fermion towers on a circle, we derive the finite one-loop holonomy threshold and an exact bound on its ability to repair gauge coupling mismatch. A complete generation with a common mass and phase gives only a universal shift. Allowing phase splitting, the sharp bound is saturated by a single hypercharge center holonomy that makes the doublets periodic and the singlets antiperiodic. With stated electroweak inputs and vanishing nonuniversal reference matching, one additional vectorlike generation requires ; three require . These are conditional spectral constraints, not measured compactification bounds. We also identify the boundary data needed for a chiral completion and the additional information required for flavor predictions. Explicit generators, numerical verification and all figure data accompany the manuscript.
Author: Ye, Ying (Fred)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225376179