Carlos Perez Sanchez, Nathan Pagliaroli: Positivity bootstraps of tensor integrals at large-N

mercredi 27 mai 2026, 14:00 → 15:00 Europe/Paris

Using positivity bootstraps we address random (unitary invariant) tensors in the large-N limit. As has been done for unitary invariant random matrices, we combine the Dyson-Schwinger equations and positivity constraints of moments to approximate the moments one quartic and two hexic rank three tensor models. All models studied converge quickly, and for those which have known analytic formulae, they converge to such solutions. We conjecture new explicit formulae for all moments of the rank three quartic model and support several conjectures, both using bootstrapped results and by explicit double-series computations obtained with 'feyntensor'. Talk based on arXiv:2604.19714.