Noncommutative Conformal Field Theory in the Twist-deformed context

TL;DR

This paper explores conformal symmetry on a noncommutative plane using twist deformation, demonstrating that the twist procedure yields unambiguous and consistent results, highlighting the significance of twist symmetries in noncommutative geometry.

Contribution

It introduces a consistent approach to conformal symmetry in noncommutative geometry using twist deformation, resolving ambiguities present in previous methods.

Findings

Twist procedure ensures ambiguity-free conformal symmetry results.

Supports the importance of twist symmetries in noncommutative geometry.

Provides a consistent framework for conformal field theory in noncommutative spaces.

Abstract

We discuss conformal symmetry on the two dimensional noncommutative plane equipped with Moyal product in the twist deformed context. We show that the consistent use of the twist procedure leads to results which are free from ambiguities. This lends support to the importance of the use of twist symmetries in noncommutative geometry.