Georgios Itsios, Veselin G. Filev, Dimitrios Zoakos
We construct the gravity dual of N=1 Non-Commutative SYM theory coupled to N_f 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.
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http://arxiv.org/abs/1304.5211
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