Metastable Vacua in Perturbed Seiberg-Witten Theories

Details Metastable Vacua in Perturbed Seiberg-Witten Theories Metastable Vacua in Perturbed Seiberg-Witten Theories

2007-04-27

arxiv.org/abs/0704.3613v2

Adv.Theor.Math.Phys.12:405-427,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 4 figures; adding chiral ring arguments in appendix B.1

Scientific paper

We show that, for a generic choice of a point on the Coulomb branch of any N=2 supersymmetric gauge theory, it is possible to find a superpotential perturbation which generates a metastable vacuum at the point. For theories with SU(N) gauge group, such a superpotential can be expressed as a sum of single-trace terms for N=2 and 3. If the metastable point is chosen at the origin of the moduli space, we can show that the superpotential can be a single-trace operator for any N. In both cases, the superpotential is a polynomial of degree 3N of the vector multiplet scalar field.

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