High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics

TL;DR

This paper provides a high-precision analysis of the spectrum of D=4 supersymmetric Yang-Mills quantum mechanics, revealing supermultiplet structures, degeneracies, and confirming the Witten index consistency.

Contribution

It offers the first detailed spectral computation across all channels, explicitly demonstrating supersymmetry realization and uncovering accidental degeneracies.

Findings

Identification of supermultiplets in the spectrum

Coexistence of localized and non-localized states

Witten index converges to a constant

Abstract

The spectrum of D=4 supersymmetric Yang-Mills quantum mechanics is computed with high accuracy in all channels of angular momentum and fermion number. Localized and non-localized states coexists in certain channels as a consequence of the supersymmetric interactions with flat valleys. All states fall into well identifiable supermultiplets providing an explicit realization of supersymmetry on the spectroscopic level. An accidental degeneracy among some supermultiplets has been found. Regularized Witten index converges to a time-independent constant which agrees with earlier calculations.