Picture changing operators in supergeometry and superstring theory

TL;DR

This paper explores the geometrical interpretation of superstring pictures, introduces off-shell generalizations of picture changing operators, and analyzes their algebraic properties both on-shell and off-shell.

Contribution

It presents a novel off-shell generalization of picture changing operators and studies their algebraic relations in supergeometry and superstring theory.

Findings

Off-shell generalization of picture changing operators constructed.

Operators are inverse on-shell, form a projection off-shell.

Provides deeper geometric understanding of superstring pictures.

Abstract

Geometrical meaning of superstring pictures is discussed in details. An off-shell generalization of the picture changing operation and its inverse are constructed. It is demonstrated that the generalised operations are inverse to each other on-shell while off-shell their product is a projection operator.