Democratic Superstring Field Theory: Gauge Fixing

TL;DR

This paper explores gauge fixing in democratic superstring field theory, deriving non-polynomial theories and new models with analytical solutions, advancing understanding of superstring gauge structures.

Contribution

It introduces new gauge-fixed formulations of superstring field theory, including a Z_2 dual of the modified cubic theory, with analytical solutions demonstrating their properties.

Findings

Partial gauge fixing yields non-polynomial superstring theories.

A new Z_2 dual theory of the modified cubic theory is constructed.

Analytical solutions exhibit expected physical properties.

Abstract

We show that a partial gauge fixing of the NS sector of the democratic-picture superstring field theory leads to the non-polynomial theory. Moreover, by partially gauge fixing the Ramond sector we obtain a non-polynomial fully RNS theory at pictures 0 and 1/2. Within the democratic theory and in the partially gauge fixed theory the equations of motion of both sectors are derived from an action. We also discuss a representation of the non-polynomial theory analogous to a manifestly two-dimensional representation of WZW theory and the action of bosonic pure-gauge solutions. We further demonstrate that one can consistently gauge fix the NS sector of the democratic theory at picture number -1. The resulting theory is new. It is a Z_2 dual of the modified cubic theory. We construct analytical solutions of this theory and show that they possess the desired properties.