Clifford algebras, spinors and fundamental interactions : Twenty Years After

TL;DR

This paper reviews the algebraic properties of Clifford algebras and spinors and summarizes their applications in describing fundamental particles in physics.

Contribution

It provides a concise overview of Clifford algebras and spinors with a focus on their role in fundamental physics, reflecting on developments over twenty years.

Findings

Clifford algebras underpin the mathematical structure of spinors.

Spinors are essential in describing elementary particles.

The algebraic approach aids in understanding fundamental interactions.

Abstract

This is a short review of the algebraic properties of Clifford algebras and spinors. Their use in the description of fundamental physics (elementary particles) is also summarized. Lecture given at the ICCA7 conference, Toulouse (23/05/2005)