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We derive the four dimensional N=1/2 super Yang-Mills theory from tree-levelcomputations in RNS open string theory with insertions of closed stringRamond-Ramond vertices. We also study instanton configurations in this gaugetheory and their ADHM moduli space, using systems of D3 and D(-1) branes in aR-R background.Comment: 29 pages, 6 figures, JHEP class (included

N=1/2 gauge theory and its instanton moduli space from open strings in R-R background