Katsushi Ito (Tokyo Institute of Technology): N=4 SYM in Omega background

Name: Katsushi Ito (Tokyo Institute of Technology): N=4 SYM in Omega background
Start: 2013-09-13T14:00:00+02:00
End: 2013-09-13T15:00:00+02:00
Location: Tanacsterem

Friday 13 Sept 2013, 14:00 → 15:00 Europe/Budapest

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.