A Note on Non-Commutative Orbifold Field Theories

TL;DR

This paper proposes that certain non-commutative orbifold field theories, derived from N=4 SYM, could be UV finite, including some non-supersymmetric cases at finite Nc, challenging previous assumptions about divergences.

Contribution

It introduces the idea that non-commutative orbifold truncations of N=4 SYM may be UV finite, even without supersymmetry, at finite Nc.

Findings

Non-commutative orbifold theories from N=4 SYM are UV finite.

Non-supersymmetric orbifold truncations can be finite at finite Nc.

Potential implications for quantum field theory finiteness.

Abstract

We suggest that orbifold field theories which are obtained from non-commutative N=4 SYM are UV finite. In particular, non-supersymmetric orbifold truncations might be finite even at finite values of Nc.