ELECTRIC MAGNETIC DUALITY IN SUPERSYMMETRIC NON-ABELIAN GAUGE-THEORIES

We demonstrate electric-magnetic duality in N = 1 supersymmetric non-A belian gauge theories in four dimensions by presenting two different g auge theories (different gauge groups and quark representations) leadi ng to the same non-trivial long distance physics. The quarks and gluon s of one theory can be interpreted as solitons (non-Abelian magnetic m onopoles) of the elementary fields of the other theory. The weak coupl ing region of one theory is mapped to a strong coupling region of the other. When one of the theories is Higgsed by an expectation value of a squark, the other theory is confined. Massless glueballs, baryons an d Abelian magnetic monopoles in the confining description are the weak ly coupled elementary quarks (i.e. solitons of the confined quarks) in the dual Higgs description.