Spatial 't Hooft loop in hot SUSY theories at weak coupling

Understand

The spatial 't Hooft loop measures the colour electric flux in SU(N)/Z(N) gauge theory.

• It is a closed loop of Dirac Z(N) flux and has strength k=1, 2,.., N-1.
• It is analyzed for generic k and small gauge coupling in the high temperature phase of {\cal N} =1, 2 and 4 SUSY theory up and including cubic order.
• In one loop order no qualitative difference with gluodynamics shows.