Dirac Operators and Clifford Geometry - New Unifying Principles in Particle Physics ?

TL;DR

This paper explores the connection between Dirac operators on Clifford modules and Einstein-Yang-Mills-Higgs models, aiming to uncover new unifying principles in particle physics through geometric analysis.

Contribution

It introduces a novel geometric framework linking Dirac operators with fundamental particle physics models, providing new insights into unification theories.

Findings

Established a mathematical relation between Dirac operators and gauge theories

Proposed a geometric interpretation of Einstein-Yang-Mills-Higgs models

Suggested potential pathways for unifying particle physics principles

Abstract

In this lecture I will report on some recent progress in understanding the relation of Dirac operators on Clifford modules over an even-dimensional closed Riemannian manifold $M$\ and (euclidean) Einstein-Yang-Mills-Higgs models.