Melonic large N limit of 5-index irreducible random tensors

PIRSA ID: 21110040
Série : Quantum Gravity
Event Type: Seminar
Domaine(s) scientifique(s) :
Quantum Gravity
Date de fin :
  • Sabine Harribey, CPHT Centre de Physique Théorique de l’Ecole Polytechnique

The main feature of tensor models is their melonic large N limit, leading to applications ranging from random geometry and quantum gravity to  many-body quantum mechanics and conformal field theories. However, this melonic limit is lacking for tensor models with ordinary representations of O(N) or Sp(N). We demonstrate that random tensors with sextic interaction transforming under rank-5 irreducible representations of O(N) have a melonic large N limit. This extends the recent proof obtained for rank-3 models with quartic interaction. After giving an introduction to random tensors, I will present the main ideas of our proof relying on recursive bounds derived from a detailed combinatorial analysis of the Feynman graphs.

Zoom Link: