The vacuum structure of script N = 2 super-QCD with classical gauge groups

Philip C. Argyres, Alfred D. Shapere

Research output: Contribution to journalArticlepeer-review

164 Scopus citations


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 languageEnglish
Pages (from-to)437-459
Number of pages23
JournalNuclear Physics B
Issue number3
StatePublished - 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.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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