title: Optical finite representation of the Lorentz group.
abstract: We implement a finite-dimensional representation of the 2+1D Lorentz group with a PT-symmetric waveguide array. Our device can be engineered to behave like a multi-port oscillator or directional coupler with amplification. We show that the two-waveguide coupler with linear losses, the Vernier effect in coupled asymmetric micro-cavity lasers, and the so-called linear PT-symmetric dimer belong to this symmetry class of optical systems.
authors.forename: B M
authors.initials: BM
authors.lastname: Rodríguez-Lara
authors.forename: J
authors.initials: J
authors.lastname: Guerrero