Nilpotent-direction analysis on the moduli space supports duality for W_{A_k} superpotentials but shows the duality conjecture fails for W_{D_{k+2}} models in N=1 SUSY gauge theories.
A Comment on Duality in N=1 Supersymmetric Non -- Abelian Gauge Theories
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abstract
Recently N. Seiberg has shown that certain N=1 supersymmetric Yang -- Mills theories have the property that their infrared physics can be equivalently described by {\it two different} gauge theories, with the strong coupling region of one corresponding to the weak coupling region of the other. This duality leads to interesting results about the infrared dynamics of these theories. We generalize Seiberg's ideas to a new class of models for which a similar duality allows one to obtain rather detailed dynamical information about the long distance physics.
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The Potency of Nilpotence
Nilpotent-direction analysis on the moduli space supports duality for W_{A_k} superpotentials but shows the duality conjecture fails for W_{D_{k+2}} models in N=1 SUSY gauge theories.