| Abstract: |
We derive 4-dimensional N=4 U(N) supersymmetric Yang-Mills theory
from a 3-dimensional Chern-Simons-matter theory
with product gauge group (U(N))^{2n}.
The latter describes M2-branes probing an orbifold where
a torus emerges in a scaling limit. Starting from
one single Chern-Simons-matter theory, we find infinitely
many equivalent 4-dimensional theories differing up to
SL(2,Z) redefinition of the gauge coupling tau (= theta/2pi + 4pi i/g2).
This would provide a proof of the Montonen-Olive duality.
However, because our tau is not generic,
the S-transformation (tau -> -tau^{-1}) can be thought of
as a parity transformation in 4 dimensions.
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