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Published April 2008 | Published + Submitted
Journal Article Open

Metastable vacua in perturbed Seiberg-Witten theories

Abstract

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.

Additional Information

© 2008 International Press. H.O. thanks the hospitality of the high-energy theory group at the University of Tokyo at Hongo. This research is supported in part by DOE grant DEFG03-92-ER40701. The research of H.O. is also supported in part by the NSF grant OISE-0403366 and by the 21st Century COE Program at the University of Tokyo. Y.O. is also supported in part by the JSPS Fellowship for Research Abroad. C.P. is also supported in part by Samsung Scholarship. Mathematical Reviews number (MathSciNet): MR2399315.

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Submitted - 0704.3613.pdf

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Created:
August 19, 2023
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