Backreacted flavor in non-commutative gauge theories

TL;DR

This paper constructs an analytic gravity dual for non-commutative N=1 SYM with fundamental flavors, analyzing its UV behavior and the effects of non-commutativity on the gauge coupling.

Contribution

It provides a non-perturbative, analytic gravity dual for flavored non-commutative gauge theories, including the effects of backreacted flavors.

Findings

The background reduces to ordinary SYM near the origin.

The dilaton diverges at large distances indicating a UV Landau pole.

The effective YM coupling is unaffected by non-commutativity.

Abstract

We construct the gravity dual of N=1 Non-Commutative SYM theory coupled to Nf smeared massless fundamental flavors. Our solution is analytic and non-perturbative. Near the origin the background reduces to the one corresponding to an ordinary SYM theory. At large radial distances, the dilaton diverges signaling the presence of a UV Landau pole. Considering a probe D3-brane we calculate the effective YM coupling and show that it is independent on the parameter of non-commutativity. We calculate the corresponding beta function and show that it remains positive at all energy scales.