Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves

Details Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves

2003-06-13

arxiv.org/abs/hep-th/0306128v1

Phys.Lett. B570 (2003) 118-122

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex file

Scientific paper

10.1016/j.physletb.2003.07.040

We determine the gluino condensate $< \Tr \lambda^2 >$ in the pure ${\cal N}=1$ super Yang-Mills theory (SYM) for the classical gauge groups $SU(r+1)$, $SO(2r+1)$, $USp(2r)$ and $SO(2r)$, by deforming the pure ${\cal N}=2$ SYM theory with the adjoint scalar multiplet mass, following the work by Finnell and Pouliot, and Ritz and Vainshtein. The value of the gluino condensate agrees in all cases with what was found in the weak coupling istanton calculation.

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