# Melonic large N limit of 5-index irreducible random tensors

### APA

Harribey, S. (2021). Melonic large N limit of 5-index irreducible random tensors. Perimeter Institute. https://pirsa.org/21110040

### MLA

Harribey, Sabine. Melonic large N limit of 5-index irreducible random tensors. Perimeter Institute, Nov. 25, 2021, https://pirsa.org/21110040

### BibTex

@misc{ pirsa_PIRSA:21110040, doi = {10.48660/21110040}, url = {https://pirsa.org/21110040}, author = {Harribey, Sabine}, keywords = {Quantum Gravity}, language = {en}, title = {Melonic large N limit of 5-index irreducible random tensors}, publisher = {Perimeter Institute}, year = {2021}, month = {nov}, note = {PIRSA:21110040 see, \url{https://pirsa.org}} }

Sabine Harribey Nordic Institute for Theoretical Physics

## Abstract

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.

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