Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models

TL;DR

This paper derives the asymptotic power law decay of zero-energy wave functions in supersymmetric SU(2) matrix models, providing insights into their behavior in reduced super Yang-Mills theories and supermembrane models.

Contribution

It presents the first derivation of the asymptotic form of zero-energy wave functions in supersymmetric matrix models, linking supercharges to wave-function decay behavior.

Findings

Derived the power law decay of wave functions

Established the asymptotic form of zero-modes

Linked wave-function behavior to supercharges

Abstract

We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model related to supermembranes in d+2 dimensions.