Comments on Solutions of Vacuum Superstring Field Theory

TL;DR

This paper investigates classical solutions in vacuum superstring field theory, revealing that certain states previously thought to represent D-branes are actually pure gauge, thus not physically meaningful as D-branes.

Contribution

It demonstrates that the supersliver state in vacuum superstring field theory is non-perturbatively pure-gauge, challenging its interpretation as a D-brane, and explores related solutions.

Findings

Supersliver state is pure-gauge and does not describe a D-brane.

The calculation of e^{-Phi}Qe^{Phi} for twisted superslivers advances understanding of solutions.

Bosonic VSFT bc-twisted sliver can be expressed as a pure-gauge configuration.

Abstract

We study classical solutions of vacuum version of Berkovits' superstring field theory, focusing on the (super)ghost sector. We first argue that the supersliver state which is annihilated by eta_0, though it has the correct quantum numbers and solves the equation of motion, is actually non-perturbatively pure-gauge, and hence it fails to describe a D-brane. As a step toward the construction of non-trivial solutions, we calculate e^{-Phi}Qe^{Phi} for twisted superslivers. As a by-product, we find that the bc-twisted sliver solution in bosonic VSFT can, at least formally, also be written as a pure-gauge configuration.