A Discrete and Coherent Basis of Intertwiners

Understand

We construct a new discrete basis of 4-valent SU(2) intertwiners.

• This basis possesses both the advantage of being discrete, while at the same time representing accurately the classical degrees of freedom; hence it is coherent.
• The closed spin network amplitude obtained from these intertwiners depends on twenty spins and can be evaluated by a generalization of the Racah formula for an arbitrary graph.
• The asymptotic limit of these amplitudes is found.