Hannes Keppler: Large N non-factorization in Random Tensors

mercredi 29 avr. 2026, 14:00 → 15:00 Europe/Paris

I will review recent results on the non-factorization of tensor model invariants in the large N limit of Gaussian random tensors. This result is in stark contrast to the well-known large N factorization for random matrices.
Although large N factorization has been disproven for arbitrary tensor model invariants (arXiv:2506.15362), explicit examples have been lacking.
In my talk, I will present the first and smallest such examples for O(N³) invariant Gaussian random tensors. These are given by certain 3-regular 3-edge-colored graphs.
Based on arXiv:2603.08638.