Hamiltonian truncation study of supersymmetric quantum mechanics: S-matrix and metastable states

Abstract

We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances. The effectiveness of the method is demonstrated in two strongly coupled systems: an N = 1 toy supermembrane model, and an N = 4 model with a U (1) gauge multiplet and a charged chiral multiplet.

Mini-BFSS matrix model in silico

“…If this model, like SYK, is at all related to the holography of near-extremal black holes, then we can try to study its S-matrix to gain some insight into the real time dynamics of black hole microstates. A numerical implementation of such a study in the context of similar supersymmetric quantum mechanics models with flat directions can be found in [49].…”