  We discuss an SL(2,R) family of deformed N=2 four-dimensional gauge theories
which we derive from a flux background in M-theory. In addition to the
Omega-deformation this family includes a new deformation, which we call the
Alpha-deformation, which can be viewed as an S-dual to the Omega-deformation.
We study these gauge theories in two ways: by constructing a non-Abelian (but
UV-complete) Lagrangian, and by their strong coupling lift to M-theory where
their low-energy dynamics can be determined by examining the equation of motion
of a single M5-brane wrapped on a Riemann surface.
