A Computer Algorithm For Engineering Off-Shell Multiplets With Four Supercharges On The World Sheet

TL;DR

This paper introduces a computer algorithm based on adinkras for constructing off-shell supermultiplets with four supercharges on the world sheet, leading to new discoveries of supersymmetry representations.

Contribution

The authors develop a Mathematica-based algorithm to engineer off-shell N-extended world-sheet supermultiplets, revealing previously unknown supersymmetry representations.

Findings

Discovery of an 8-8 representation of N=2 supersymmetry

Identification of various (p, q) = (3, 1) supermultiplets

Algorithm demonstrates potential for systematic supermultiplet construction

Abstract

We present an adinkra-based computer algorithm implemented in a Mathematica code and use it in a limited demonstration of how to engineer off-shell, arbitrary N-extended world-sheet supermultiplets. Using one of the outputs from this algorithm, we present evidence for the unexpected discovery of a previously unknown 8 - 8 representation of N = 2 world sheet supersymmetry. As well, we uncover a menagerie of (p, q) = (3, 1) world sheet supermultiplets.