NS Ghost Slivers

TL;DR

This paper constructs Neveu-Schwarz ghost slivers in pictures zero and minus one using algebraic methods, revealing their structure as projectors in a twisted conformal theory and connecting them to super VSFT equations.

Contribution

It introduces an algebraic approach to construct NS ghost slivers in different pictures and relates them to twisted conformal theories and super VSFT.

Findings

Constructed NS ghost slivers in pictures zero and minus one.

Demonstrated that the slivers are projectors in a twisted conformal theory.

Connected the product of ghost slivers to equations in super VSFT.

Abstract

Neveu-Schwarz ghost slivers in pictures zero and minus one are constructed. In particular, using algebraic methods $\beta$, $\gamma$ ghost sliver in the -1 picture is obtained. The algebraic method consists in solving a projector equation in an algebra, where the multiplication is defined by a pure 3-string vertex without any insertions at the string midpoint. We show that this projector is a sliver in a twisted version of $\beta$, $\gamma$ conformal theory. We also show that the product of the twisted $b$, $c$ and $\beta$, $\gamma$ ghost slivers solves an equation that appears after a special rescaling of super VSFT.