Using Topology to Solve Strongly Coupled Quantum Field Theories


Zohar Komargodski
(Simons Center for Geometry and Physics)


  Abstract:  I will begin by describing an interacting model in Quantum Mechanics where exact results about the ground state can be established by using tools from topology.  I will then argue that such tools are also useful for tackling interesting problems in Quantum Field Theory.  In particular, I will review Yang-Mills theory and argue that using topology one can make several predictions about its possible phases.