April 29, 5:30-7:30, Math 507

Keke Zhang

Twisted Trace on Coulomb Branches and Analytical Symplectic Duality

We will introduce a method to define symplectic duality analytically via twisted traces. We will discuss symplectic duality, Higgs and Coulomb branches. Next, we will present an operator representation of abelian Coulomb branches and define twisted traces on them using these representations. Finally, we propose a method to define symplectic duality using twisted traces and offer ideas on how this can be applied to all quiver gauge theories.