### Abstract

In [Formula Presented] supersymmetric [Formula Presented] gauge theories with the tree-level superpotential [Formula Presented] that is an arbitrary polynomial of the adjoint matter [Formula Presented] the massless fluctuations about each quantum vacuum are described by [Formula Presented] gauge theory. By turning on the parameters of [Formula Presented] to the special values, the singular vacua where the additional fields become massless can be reached. Using the matrix model prescription, we study the intersections of [Formula Presented] and [Formula Presented] branches. The general formula for the matrix model curve at the singularity which is valid for arbitrary N is obtained and this generalizes the previous results for small values of N from the strong-coupling approach. Applying the analysis to the degenerated case, we also obtain a general matrix model curve which is not only valid at a special point but also on the whole branch.

Original language | English |
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Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 69 |

Issue number | 8 |

DOIs | |

Publication status | Published - Jan 1 2004 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)