### 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.

Original language | English |
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Pages (from-to) | 405-427 |

Number of pages | 23 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 12 |

Issue number | 2 |

DOIs | |

Publication status | Published - Apr 2008 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Physics and Astronomy(all)

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## Cite this

Ooguri, H., Ookouchi, Y., & Park, C. S. (2008). Metastable vacua in perturbed Seiberg-Witten theories.

*Advances in Theoretical and Mathematical Physics*,*12*(2), 405-427. https://doi.org/10.4310/ATMP.2008.v12.n2.a5