Instantons and matter in N = 1/2 supersymmetric gauge theory

Simone Giombi, Riccardo Ricci, Daniel Robles-Llana, Diego Trancanelli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)533-561
Number of pages29
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Nonperturbative Effects
  • Solitons Monopoles and Instantons
  • Superspaces


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