Integrability in N = 1 Gauge Theories

In this thesis we investigate two questions that shed new light on fundamentalproperties of supersymmetric gauge theories.Our first topic deals with the question, which implications results for N = 4 Super-Yang-Mills have on theories with less symmetry. Specifically we conjecture that thedilatation operator in the SU(2, 1|1) sector of any N = 1 superconformal gauge theorycan be found from the one for N = 4 Super-Yang-Mills by a redefinition of the couplingconstant. This implies its integrability. We prove this conjecture perturbatively upto three loops for the vacuum of this sector and discuss generalizations to the wholesector.Our second investigation concerns the protected spectrum of N = 2 superconformalQCD. It is much richer than naively expected. In particular it contains states witharbitrarily large spin, which has been shown by means of the superconformal index.However their form was as of yet unknown. We present an algorithm that explicitlyconstructs these states in terms of the fundamental fields of the theory.