Testing the imposition of the spin foam simplicity constraints
Testing the imposition of the spin foam simplicity constraints
We introduce a three-dimensional Plebanski action for the gauge group SO(4).In this model, the B field satisfies quadratic simplicity constraints similar to that of the fourdimensional Plebanski theory, but with the difference that the B field is now a one-form.We exhibit a natural notion of "simple one-form", and identify a …