Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

TL;DR

This paper investigates the limitations of twist symmetry in noncommutative gauge theories, concluding it cannot be extended to internal gauge symmetries, with supersymmetry potentially offering a way to overcome this restriction.

Contribution

It provides a theoretical analysis showing the incompatibility of twist symmetry with internal gauge symmetries in noncommutative space-time.

Findings

Twist symmetry cannot be extended to internal gauge symmetries.

Supersymmetry may potentially reverse this limitation.

Abstract

Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.