3D Super Yang-Mills at Large-N and how to bosonize it
by
Daniele Dorigoni(Cambrdige)
→
Europe/Stockholm
122:026
122:026
Description
In the large N limit, gauge theories compactified on $R^{d-k} \times
(S^1)^k$ are independent of the $S^1$ radii, provided that center symmetry
remains unbroken. Volume independence holds for arbitrary circle size L,
therefore we can match a set of correlation functions in the theory on
$R^d$
to the corresponding observables in the reduced $R^{d-k}$ theory.
We focus our attention to 3D SYM reduced to 2D and show explicitly how the
compact direction is encoded in the color degrees of freedom.
By combining volume independence with a non-abelian bosonization procedure
we will obtain a bosonized description of the starting 3D theory. As an
application we compute the k-string tension and then conclude with some
remarks about 4D SYM.