Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States

TL;DR

This paper applies the Rayleigh-Ritz method to supersymmetric quantum mechanics with flat directions, successfully extracting the S-matrix and metastable states in strongly coupled models, demonstrating its effectiveness.

Contribution

It introduces a novel application of the Rayleigh-Ritz method to supersymmetric quantum systems with flat directions, enabling analysis of resonances and scattering.

Findings

Effective extraction of S-matrix in supersymmetric models

Identification of metastable resonances in strongly coupled systems

Validation of the method on toy and gauge models

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.