Seiberg-Witten theory for the asymptotic free rank three tensors of SU(N)

Details Seiberg-Witten theory for the asymptotic free rank three tensors of SU(N) Seiberg-Witten theory for the asymptotic free rank three tensors of SU(N)

2000-10-25

arxiv.org/abs/hep-th/0010233v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

We here give a first indication that there exists a Seiberg-Witten curve for SU(N) Seiberg-Witten theory with matter transforming in the totally antisymmetric rank three tensor representation. We present a derivation of the leading order hyperelliptic approximation of a curve for this case. Since we are only interested in the asymptotic free theory we are restricted to $N=6,7,8$. The derivation is carried out by reversed engineering starting from the known form of the prepotential at tree level. We also predict the form of the one instanton correction to the prepotential.

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