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arxiv hep-th/0505077 v3 pith:7SERVBHP submitted 2005-05-09 hep-th

Instantons and Matter in N=1/2 Supersymmetric Gauge Theory

classification hep-th
keywords orderactioncorrectionseffectivegaugeinstantonmattersupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity parameter C. The profile of the matter superfield is deformed through linear and quadratic corrections in C. Higher order corrections are absent because of the fermionic nature of the back-reaction. The instanton effective action, in addition to the usual 't Hooft term, includes a contribution of order C^2 and is N=1/2 invariant. We argue that the N=1 result for the gluino condensate is not modified by the presence of the new term in the effective action.

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