Picture-Changing operators and Space-Time supersymmetry

TL;DR

This paper investigates the geometrical aspects of fermionic vertex operators in NSR superstring theory, revealing how picture-changing operators relate worldsheet and spacetime supersymmetries and connecting NSR to GS superstring formulations.

Contribution

It demonstrates that picture-changing operators form a polynomial ring and establishes a link between NSR and GS superstring theories through this formalism.

Findings

Picture-changing operators form a polynomial ring.

Connection established between NSR and GS superstring theories.

New identities between correlation functions derived from $ppa$-symmetry.

Abstract

We explore geometrical properties of fermionic vertex operators for a NSR superstring in order to establish connection between worldsheet and target space supersymmetries. The mechanism of picture-changing is obtained as a result of imposing certain constraints on a world-sheet gauge group of the NSR theory. It is found that picture-changing operators of various integer ghost numbers form a polynomial ring. By using properties of the picture-changing formalism we establish connection between the NSR and GS superstring theories. We explore the properties of the $\kappa$-symmetry in the NSR formalism and show that it leads to some new identities between correlation functions.