Remarks on the convergence properties of the conformal block expansion

Slava Rychkov (1, 2) , Pierre Yvernay (3, 1)

1 CERN [Genève]
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
3 ENSTA Paris - École Nationale Supérieure de Techniques Avancées

We show how to refine the conformal block expansion convergence estimates from arXiv:1208.6449. In doing so we find a novel explicit formula for the 3d conformal blocks on the real axis.

Domaines: Physique [physics]

Slava Rychkov, Pierre Yvernay. Remarks on the convergence properties of the conformal block expansion. Physics Letters B, 2016, 753, pp.682-686. ⟨10.1016/j.physletb.2016.01.004⟩. ⟨hal-01253827v2⟩