The effect of closed string background on gauge theories have been investigated in recent years. Especially, it is well known that the effect of constant NS-NS background can be interpreted as the noncommutativity of space-time in D-brane world-volume. On the other hand, R-R background may be interpreted as the non(anti)commutativity of world-volume superspace and an effective action in the presence of R-R background is expected to be a deformed supersymmetric gauge theory defined on the non(anti)commutative superspace.
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