Physics Colloquium: Jan Engelbrecht, Boston College
Ordering in time: a correspondence between coupled oscillator networks and conformal field theories in hyperbolic geometry
Analyses of Kuramoto models have played a central role in understanding ordering in coupled oscillator systems and are widely used to describe a host of phenomena involving ordering in time. Quite remarkably, for a very large class of such models the dynamics of subsets of “identical”oscillators governed by the same differential equation, obey a symmetry from which one can deduce a natural a set of collective coordinates which yield an equivalent description. The dynamics of oscillators correspond to a flow in a space of group elements which has a natural hyperbolic geometry. Group theory and geometry can yield considerable insights on oscillator dynamics and oscillator dynamics can be used for proofs in geometry. This dual description has similarities to the correspondence developed in AdS-CFT, as well as the duality between charges and fields in electromagnetism.
Wednesday, October 7 at 4:00pmVirtual Event