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

Abstract

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.

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

References in corpus (5)

• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• One-loop renormalisation of N=1/2 supersymmetric gauge theory
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace

Cited by in corpus (6)

• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons