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 C2 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.

Instantons and matter in N = 1/2 supersymmetric gauge theory / Giombi, Simone; Ricci, Riccardo; Robles-Llana, Daniel; Trancanelli, Diego. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2005:10(2005), pp. 021-021. [10.1088/1126-6708/2005/10/021]

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

Trancanelli, Diego
2005

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 C2 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.
2005
2005
10
021
021
Instantons and matter in N = 1/2 supersymmetric gauge theory / Giombi, Simone; Ricci, Riccardo; Robles-Llana, Daniel; Trancanelli, Diego. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2005:10(2005), pp. 021-021. [10.1088/1126-6708/2005/10/021]
Giombi, Simone; Ricci, Riccardo; Robles-Llana, Daniel; Trancanelli, Diego
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1177367
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