## Abstract

We determine the vacuum structure of script N = 2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale-invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,ℤ) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak-coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong-coupling physics.

Original language | English |
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Pages (from-to) | 437-459 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 461 |

Issue number | 3 |

DOIs | |

State | Published - Feb 26 1996 |

### Bibliographical note

Funding Information:It is a pleasure to thank K. Dienes, R. Leigh, R. Plesser, N. Seiberg, and E. Witten for helpful discussions and comments, and J. Minahan and D. Nemeschansky for a useful correspondence. P.C.A. is supported by DOE grant DE-FG05-90ER40559 and A.D.S. is supported in part by DOE EPSCoR grant DE-FG02-91ER75661 and by an Alfred P. Sloan Fellowship.

### Funding

It is a pleasure to thank K. Dienes, R. Leigh, R. Plesser, N. Seiberg, and E. Witten for helpful discussions and comments, and J. Minahan and D. Nemeschansky for a useful correspondence. P.C.A. is supported by DOE grant DE-FG05-90ER40559 and A.D.S. is supported in part by DOE EPSCoR grant DE-FG02-91ER75661 and by an Alfred P. Sloan Fellowship.

Funders | Funder number |
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DOE EPSCoR | DE-FG02-91ER75661 |

Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory | DE-FG05-90ER40559 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics