Brane Dynamics and Four-Dimensional Quantum Field Theory

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We review the relation between the classical dynamics of the M-fivebrane and the quantum low energy effective action for N=2 Yang-Mills theories. We also discuss some outstanding issues in this correspondence.
10 pages, sprocl.sty. To appear in the proceedings of the Trieste Conference on Superfivebranes and Physics in 5+1 Dimensions, April 1998

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