Speaker
Sanefumi Moriyama
(Osaka Metropolitan University)
Description
It was known that multiple M2-branes are described by supersymmetric Chern-Simons theories and the grand canonical partition functions of these theories sometimes satisfy q-deformed Painleve equations. Since Painleve equations are constructed from affine Weyl groups of exceptional algebras, this implies that these grand partition functions enjoy hidden symmetries of affine Weyl groups. After clarifying how symmetries of discrete translations are realized on the grand partition function, we find that the domain of the grand partition function is extended to the whole parameter space of relative ranks, where the q-Painleve equation continues to hold. This work is based on collaborations with Tomoki Nosaka.
