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Chiral rings, singularity theory and electric-magnetic duality

1995/10/30 by D. Kutasov, A. Schwimmer, N. Seiberg · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Equivalence (formal languages) #Gauge theory #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Seiberg duality #Singularity #Singularity theory #Superpotential #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(95)00599-4

published as Nucl.Phys.B459:455-496,1996 · 50 pages, uses harvmac

arxiv created 1995/10/30 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study in detail the space of perturbations of a pair of dual N=1 supersymmetric theories based on an SU(Nc) 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.

Citations

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