Supersymmetry and dimensional reduction from disorder: A review

by Dr Apratim Kaviraj (ENS, Paris)

Wednesday 14 Aug 2019, 10:00 → 11:00 Asia/Kolkata

A304

A certain class of disordered theories near criticality has characteristics exactly similar to the critical point of the same system, in two dimensions less and without the disorder. This peculiar phenomenon, called Parisi-Sourlas dimensional reduction, happens due to a supersymmetry conjectured to exist at the disordered fixed point. Various numerical results verify the dimensional reduction, while others have found counter-examples. Several proposals explaining the exact mechanism exist in literature, although a consensus is still lacking. I will try to give a consistent picture summarising this wide state of art.