Chiral rings, singularity theory and electricmagnetic duality
Abstract
We study in detail the space of perturbations of a pair of dual N = 1 supersymmetric theories based on an SU( N_{c}) gauge theory with an adjoint X and fundamentals with a superpotential which is polynomial in X. The equivalence between them depends on nontrivial facts about polynomial equations, i.e. singularity theory. The classical chiral rings of the two theories are different. Quantum mechanically there are new relations in the chiral rings which ensure their equivalence. Duality interchanges "trivial" classical relations in one theory with quantum relations in the other and vice versa. We also speculate about the behavior of the theory without the superpotential.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(95)005994
 arXiv:
 arXiv:hepth/9510222
 Bibcode:
 1996NuPhB.459..455K
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 50 pages, uses harvmac