We derive model-independent quantization conditions on the axion couplings (sometimes
known as the anomaly coefficients) to the standard model gauge group [SU (3)× SU (2)× U …

We review various classical unified theories of gravity and other interactions that have
appeared in the literature, paying special attention to scenarios in which spacetime remains …

Our aim in this review paper is to present the applications of Connes' noncommutative
geometry to elementary particle physics. Whereas the existing literature is mostly focused on …

Prior work [arXiv: 2106.16248] shows that the Standard Model (SM) naturally arises near a
gapless quantum critical region between Georgi-Glashow (GG) $ su (5) $ and Pati-Salam …

The seeds of this book have been planted in the far east, where I wrote lecture notes for
international schools in Tianjin, China in 2007, and in Bangkok, Thailand in 2011. I then …

A bstract We propose that the electroweak and flavour quantum numbers of the Standard
Model (SM) could be unified at high energies in an SU (4)× Sp (6) L× Sp (6) R anomaly-free …

This thesis constitutes a first attempt to derive aspects of standard model particle physics
from little more than an algebra. Here, we argue that physical concepts such as particles …

We provide an explicit desingularization and study the resulting fiber geometry of elliptically
fibered four-folds defined by Weierstrass models admitting a split ̃A_4 singularity over a …

A considerable amount of the standard model's three-generation structure can be realised
from just the 8 C-dimensional algebra of the complex octonions. Indeed, it is a little-known …

A bstract We study the global structure of the gauge group G of F-theory compactified on an
elliptic fibration Y. The global properties of G are encoded in the torsion subgroup of the …