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

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

2005-05-09

arxiv.org/abs/hep-th/0505077v3

JHEP 0510 (2005) 021

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, harvmac; v2: minor changes, added references; v3: added analysis of the instanton measure in section 9

Scientific paper

10.1088/1126-6708/2005/10/021

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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