Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-25
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 23 eps figures
Scientific paper
Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Under suitable conditions the quantum theory becomes a noncommutative supersymmetric YM-CS gauge theory which call for an study of its renormalized perturbative corrections. As a preliminary step to more general consideration, the modification of the ${\cal N}=3,2,1$ supersymmetric YM-CS gauge theory due to noncommutativity of spatial coordinates is proposed. We carry out the one-loop renormalization and a noncommutative correction for the Chern-Simons coefficient is obtained. Finally it is found that this new correction depends of the noncommutative parameter in an analytic form.
Estrada-Jimenez Sendic
Garcia-Compean Hugo
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