The Ponzano-Regge asymptotic of the supersymmetric 6jS symbols

Abstract

We adapt the Gurau's proof (2008) about the asymptotic limit of Ponzano-Regge formula to supersymmetric 6jS symbols according to their intrinsic parities alpha, beta, gamma. The behaviour at a large scaling shows significant differences depending on these parities. The decay is slowed and the angles of the oscillating parts in cosine are generally shifted or more altered.Our results should be relevant in 3-D Quantum Supergravity and Spin Foam models. PACS: 03.65.Fd Algebraic methods PACS: 04.60.-m Quantum gravity PACS: 11.30.Pb Supersymmetry MSC: 81Q60; 83D05.