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One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions | | Sendic Estrada-Jimenez
; Hugo Garcia-Compean
; | | Date: |
25 Jun 2011 | | Abstract: | 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. | | Source: | arXiv, 1106.5144 | | Services: | Forum | Review | PDF | Favorites | |
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