SUPERALGEBRAS IN N=1 GAUGE-THEORIES

N = 1 supersymmetric gauge theories with global flavor symmetries cont ain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the gauge group is SO(n(c)), with vector mat ter, it is a W-algebra, and the primary invariants form one of its rep resentation. The same superalgebra exists in the dual theory, but its construction in terms of the dual fields suggests that duality may be understood in terms of a charge conjugation within the algebra. We ext end the analysis to the gauge group E(6).