Think Different: Applying the Old Macintosh Mantra to the Computability of the SUSY Auxiliary Field Problem

TL;DR

This paper introduces an algorithmic approach using adinkra networks and Garden Algebra to systematically find off-shell supersymmetry completions, addressing the longstanding auxiliary field problem.

Contribution

It presents a novel architecture that leverages valise supermultiplets, 0-branes, and field redefinitions to algorithmically solve the off-shell auxiliary field problem in supersymmetry.

Findings

Demonstrates a direct method to address the auxiliary field problem in 1D supersymmetry.

Develops an algorithmic framework based on adinkra networks and Garden Algebra.

Provides a pathway for extending the approach to higher dimensions.

Abstract

Starting with valise supermultiplets obtained from 0-branes plus field redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an architecture for algorithms that (starting from on-shell theories and, through a well-defined computation procedure), search for off-shell completions. We show in one dimension how to directly attack the notorious "off-shell auxiliary field" problem of supersymmetry with algorithms in the adinkra network-world formulation.