Abstract

We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three-dimensional N = 2 and four-dimensional N = 1 supersymmetric QCD theories with quartic superpotentials, in which what appear to be “hidden parameters” play an important role. We discuss the construction of five-dimensional N = 1 supersymmetric gauge theories and superconformal fixed points using branes, which leads to new five-dimensional N = 1 superconformal field theories. The same five-dimensional theories are also used, in a surprising way, to describe new superconformal fixed points of three-dimensional N = 2 supersymmetric theories, which have both “electric” and “magnetic” Coulomb branches.

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