Konstantinos Kollias | Searcharxiv

arXiv2026

Grand-unification Theory Atlas: Standard Model and Beyond

Under a reasonable set of ab-initio assumptions, we define and chart the atlas of simple gauge theories with families of fermions whose masses are forbidden by gauge invariance. We propose a compass to navigate the atlas based on counting degrees of freedom. When searching for Grand-unification Theories with three matter generations, the free energy singles out the SU(5) Georgi-Glashow model as the minimal one, closely followed by SO(10) with spinorial matter. The atlas also defines the dryland of grand-unifiable gauge extensions of the standard model. We further provide examples relevant for gauge dual completions of the standard model as well as extensions by an additional SU(N) gauge symmetry.

hep-ph↗

arXiv2026

Perusing confining pseudoreal theories: a story of emerging massless spin-1 bosons

Solving quantum field theory, which is at the basis of the standard model of particle interactions, is one of the main tasks of contemporary theoretical physics. Minimal asymptotically free pseudoreal theories, containing one or two species of massless Weyl fermions in pseudoreal representations of the gauge group, flow towards a poorly understood infrared dynamics. We provide a comprehensive study of all pseudoreal theories, identifying the ones that likely flow towards a conformal dynamics, while we show that the remaining ones confine with a non-trivial condensate dynamics. Among the latter, all but one one-species theories feature a massless spin-1 state. Instead, the only confining two-species theory likely features two massless spin-1 states and one Nambu-Goldstone boson. These predictions could be further tested, for instance by use of Lattice simulations, the functional renormalization group, and supersymmetric analogs.

hep-th↗