Deformations of Lorentzian Polyhedra: Kapovich-Millson phase space and SU(1,1) Intertwiners

Etera R. Livine

We describe the Lorentzian version of the Kapovitch-Millson phase space for polyhedra with $N$ faces. Starting with the Schwinger representation of the $\mathfrak{su}(1,1)$ Lie alg…