Katsushi Ito (Tokyo Institute of Technology): N=4 SYM in Omega background
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Tanacsterem
Tanacsterem
Description
We study the dimensional reduction of ten-dimensional super Yang-Mills theory in curved backgrounds with torsion. We examine the parallel spinor conditions and the constraints for the torsion parameters which preserve supersymmetry and gauge symmetry in four dimensions. In particular we examine the ten-dimensional Omega-background with the torsion which is identified with the R-symmetry Wilson line gauge fields. After the dimensional reduction, we obtain the Omega-deformed N=4 super Yang-Mills theory.
Based on the classification of topological twists of N = 4 supersymmetry
(the half, the Vafa-Witten and the Marcus twists),
we construct the deformed off-shell supersymmetry
associated with the scalar supercharges for these twists.
We find that the Omega-deformed action
is written in the exact form with respect to the
scalar supercharges as in the undeformed case.
