The Power of Duality -- Exact Results in 4D SUSY Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, uses harvmac, to appear in the Proc. of PASCOS 95 and in the Proc. of the Oskar Klein lectures

Scientific paper

10.1142/S0217751X01005705

Recently the vacuum structure of a large class of four dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is the role of ``electric-magnetic duality.'' In its simplest form it describes the long distance behavior of some strongly coupled, and hence complicated, ``electric theories'' in terms of weakly coupled ``magnetic theories.'' This understanding sheds new light on confinement and the Higgs mechanism and uncovers new phases of four dimensional gauge theories. We review these developments and speculate on the outlook.

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