Unidexterously Constrained Worldsheet Superfields

TL;DR

This paper explores new representations of supersymmetry through super-constrained superfields on the worldsheet, expanding the understanding of supersymmetric models beyond traditional types like twisted chiral superfields.

Contribution

It introduces novel supersymmetric representations enabled by the abelian Lorentz symmetry on the worldsheet, potentially useful for future Lagrangian studies and mirror symmetry applications.

Findings

Discovery of new supersymmetric representations on the worldsheet.

Extension of the framework beyond twisted chiral superfields.

Potential applications in mirror symmetry and supersymmetric theories.

Abstract

Super-constrained superfields have provided for most of the best-known and oft-used representations of supersymmetry. The abelian nature of the Lorentz symmetry on the worldsheet turns out to continue permitting the discovery of new representations, long after the discovery of twisted chiral superfields. Just as the latter were effectively used in Lagrangian studies of mirror symmetry, it would seem hopeful that the new representations discussed herein may find their own niche too.