Tuning the RADIO to the Off-Shell 2D Fayet Hypermultiplet Problem

TL;DR

This paper demonstrates the existence of an off-shell (4,0) hypermultiplet in 2D using the RADIO technique, extending it to a (4,4) theory, and proposes a solution to a long-standing 2D supersymmetry problem.

Contribution

It introduces a new off-shell (4,0) hypermultiplet with 28-28 components and extends it to a (4,4) theory, solving a long-standing 2D supersymmetry problem.

Findings

Existence of off-shell (4,0) hypermultiplet with 28-28 components.

Extension to a (4,4) theory with 56-56 components.

Proposed solution to a 20-year-old 2D supersymmetry problem.

Abstract

We show via use of the RADIO technique that an off-shell (4,0) version of the hypermultiplet, in the form first proposed by Fayet, exists and contains 28 - 28 component fields. The off-shell structure uncovered is found to include a chiral truncation of the ``generalized 2D, N = 4 tensor multiplet formalism'' proposed by Ketov. The (4,0) theory is extended to an off-shell 56 - 56 component field (4,4) theory with the addition of a minimal (4,0) minus spinor multiplet together with (4,0) auxiliary multiplets. We propose that our final result gives a solution to a twenty year-old 2D supersymmetry problem in the physics literature.