ISSP/IPMU Joint Seminar：Kink dynamics in supersymmetric lattice models
Lattice models for fermionic degrees of freedom can be tuned to display N=2 supersymmetry. In a continuum limit such models connect to N=2 superconformal field theory (in the critical case) or to massive QFT with supersymmetry. The simplest model (called the M_1 model) in 1D has two supersymmetric vacua and it is natural to consider kinks connecting those. We derive analytic expressions for the kink dispersion relations, interpolating between a trivial limit and a supersymmetric critical point, in passing making a connection of the N=2 supersymmetric point of sine-Gordon theory. The dispersion relations lead to precise predictions for quantum dynamics in an open chain with boundary conditions favoring kink formation. We propose an experimental realization of these supersymmetry-protected dynamics, based on quantum chains of Rydberg-dressed fermionic atoms in the blockade regime.