Non-Commutative GUTs, Standard Model and C,P,T properties from Seiberg-Witten map

TL;DR

This paper investigates noncommutative extensions of GUTs and the Standard Model using the Seiberg-Witten map, revealing uniqueness properties at first order and analyzing fundamental symmetries at all orders in the noncommutativity parameter.

Contribution

It demonstrates the uniqueness of SO(10) GUT at first order in noncommutativity and develops a compatible noncommutative Standard Model, analyzing symmetry properties at all orders.

Findings

SO(10) GUT is unique at first order in 

A noncommutative Standard Model compatible with SO(10) GUT is constructed

C, P, T properties are analyzed at all orders in 

Abstract

Noncommutative generalizations of Yang-Mills theories using Seiberg-Witten map are in general not unique. We study these ambiguities and see that SO(10) GUT, at first order in the noncommutativity parameter \theta, is unique and therefore is a truly unified theory, while SU(5) is not. We then present the noncommutative Standard Model compatible with SO(10) GUT. We next study the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of these noncommutative actions at all orders in \theta. This allows to compare the Standard Model discussed in [5] with the present GUT inspired one.