Orateur
Anna Biggs
(Princeton University)
Description
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 involves the SU(2) 3j symbol. I will conceptually explain why the model has a melonic expansion, discuss various solvable corners, and present some results of exact diagonalization for small values of $N$. Expanded around states with maximal angular momentum, the model is approximated by a two dimensional CFT. The BPS states have a simple description in that regime. Based on arXiv:2601.08908 with L. Lin and J. Maldacena.