Anna Biggs: A melonic quantum mechanical model without disorder

mercredi 18 févr. 2026, 14:00 → 15:00 Europe/Paris

I will describe a quantum mechanical model involving N interacting fermions without disorder that has a large N melonic expansion. In particular, it has the same Schwinger-Dyson equations and low energy physics as the \mathcal{N} = 2 supersymmetric SYK model. The model is SU(2) invariant, and the supercharge is constructed from the Wigner SU(2) 3j symbol. I will conceptually explain why the model has a melonic expansion, discuss various solvable corners, and describe results of exact diagonalization for small values of N. Expanded around states with maximal SU(2) charge, the model is approximated by a two dimensional CFT. In this regime, the supersymmetric ground states have a simple description. Based on arXiv:2601.08908.