Worldsheet Matter Superfields on Half-Shell

TL;DR

This paper explores the use of half-shell superfields on the worldsheet, revealing stratified field spaces and novel effects like a super-Zeeman generalization, impacting string theory and supersymmetric models.

Contribution

It introduces the concept of unidexterous superfields on the worldsheet, analyzing their effects on field space structure and dynamics, including new asymmetric constraints.

Findings

Stratification of field space analogous to brane-world geometries

Generalization of the super-Zeeman effect through linear superfield dependence

Discovery of asymmetric dynamical constraints from non-linear superfield dependence

Abstract

In this paper we discuss some of the effects of using "unidexterous" worldsheet superfields, which satisfy worldsheet differential constraints and so are partly on-shell, i.e., on half-shell. Most notably, this results in a stratification of the field space that reminds of "brane-world" geometries. Linear dependence on such superfields provides a worldsheet generalization of the super-Zeeman effect. In turn, non-linear dependence yields additional left-right asymmetric dynamical constraints on the propagating fields, again in a stratified fashion.