DANIELE MARMIROLI Nordita, KTH & Stockholm University: Supersymmetric Yang-Mills theory on the four dimensional sphere of radius R exhibits phase transitions at finite value of the coupling constant once the limit of infinite R is considered. Deforming the sphere to an ellipsoid still allows to preserve N=2 supersymmetry. We analyze how the deformation of the sphere affects these phase transitions and which consequences it implies on the structure of a hypothetical gravitational dual. In some suitable limit we make contact with the two-dimensional theory and discus implications regarging phase transitions for massive theories.

DATA: 28-04-2014