NS Matter Sliver

TL;DR

This paper constructs the Neveu-Schwarz fermionic matter sliver using algebraic and conformal field theory methods, demonstrating its consistency and equivalence of different defining equations.

Contribution

It introduces a novel algebraic construction of the NS matter sliver and shows the equivalence of linear and quadratic equations in its definition.

Findings

Algebraic construction of the NS matter sliver

Equivalence of linear and quadratic equations for the sliver

Representation of the sliver as a limit of wedge states in CFT

Abstract

Using algebraic methods the Neveu-Schwarz fermionic matter sliver is constructed. Inspirited by the wedge algebra two equations for the sliver, linear and quadratic, are considered. It is shown that both equations give the same nontrivial answer. The sliver is considered also using CFT methods where it is defined as the limit of the wedge states in the NS sector of the superstring.