  We consider the generalization of the S-duality transformation previously
investigated in the context of the FQHE and s-wave superconductivity to p-wave
superconductivity in 2+1 dimensions in the framework of the AdS/CFT
correspondence. The vector Cooper condensate transforms under the S-duality
action to the pseudovector condensate at the dual side. The 3+1-dimensional
Einstein-Yang-Mills theory, the holographic dual to p-wave superconductivity,
is used to investigate the S-duality action via the AdS/CFT correspondence. It
is shown that in order to implement the duality transformation, chemical
potentials both on the electric and magnetic side of the duality have to be
introduced. A relation for the product of the nonabelian conductivities in the
dual models is derived. We also conjecture a flavor S-duality transformation in
the holographic dual to 3+1-dimensional QCD low-energy QCD with non-abelian
flavor gauge groups. The conjectured S-duality interchanges isospin and
baryonic chemical potentials.
