Pseudo-Riemannian structures in Pati-Salam models

Abstract

Abstract We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive condition that separates leptons from quarks, and restricts the whole family of Pati-Salam models into the class of generalized Left-Right Symmetric Models.

Keywords

• Non-Commutative Geometry
• Gauge Symmetry