On Instantons and Zero Modes of N=1/2 SYM Theory

Details On Instantons and Zero Modes of N=1/2 SYM Theory On Instantons and Zero Modes of N=1/2 SYM Theory

2003-08-26

arxiv.org/abs/hep-th/0308171v2

JHEP 0309 (2003) 077

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex file, added references, minor changes

Scientific paper

10.1088/1126-6708/2003/09/077

We study zero modes of N=1/2 supersymmetric Yang-Mills action in the background of instantons. In this background, because of a quartic antichiral fermionic term in the action, the fermionic solutions of the equations of motion are not in general zero modes of the action. Hence, when there are fermionic solutions, the action is no longer minimized by instantons. By deforming the instanton equation in the presence of fermions, we write down the zero mode equations. The solutions satisfy the equations of motion, and saturate the BPS bound. The deformed instanton equations imply that the finite action solutions have U(1) connections which are not flat anymore.

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