A Note on kappa-Diagonal Surface States

TL;DR

This paper classifies all twist-even, kappa-diagonal surface states in string field theory, identifying specific families of maps that include well-known states like butterfly and wedge states.

Contribution

It derives a consistency condition restricting kappa-diagonal surface states to Jacobi sine functions, highlighting the special families corresponding to known states.

Findings

Identified two-parameter family of Jacobi sine functions for kappa-diagonal surface states.

Standard requirements select families containing butterfly and wedge states.

Provided a classification framework for twist-even, kappa-diagonal surface states.

Abstract

We classify all twist-even squeezed states in string field theory which are diagonal in the kappa-basis and simultaneously surface states. For this purpose, we derive a consistency condition for the maps defining kappa-diagonal surface states. It restricts these maps to a two-parameter family of Jacobi sine functions. Not all of them are admissible maps for surface states; standard requirements single out two one-parameter families containing the generalized butterfly states and the wedge states.