Chiral Rings, Singularity Theory and Electric-Magnetic Duality

Details Chiral Rings, Singularity Theory and Electric-Magnetic Duality Chiral Rings, Singularity Theory and Electric-Magnetic Duality

1995-10-30

arxiv.org/abs/hep-th/9510222v1

Nucl.Phys.B459:455-496,1996

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, uses harvmac

Scientific paper

10.1016/0550-3213(95)00599-4

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 non-trivial 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.

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