Comments on Solutions of Vacuum Superstring Field Theory

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.

1+21 pages, no figures. v2:Some expressions in eqs.(4.11)-(5.4) have been corrected, with our main conclusions unchanged

References in corpus (11)

• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• Star Algebra Projectors
• Open String States around a Classical Solution in Vacuum String Field Theory
• Ghost Kinetic Operator of Vacuum String Field Theory
• Some Properties of String Field Algebra
• Observables as Twist Anomaly in Vacuum String Field Theory
• A Note on a Proposal for the Tachyon State in Vacuum String Field Theory
• Exact Results on Twist Anomaly
• NS Matter Sliver
• Excitations on wedge states and on the sliver
• Some Remarks About Berkovits' Superstring Field Theory

Cited by in corpus (13)

• Tachyon Dynamics in Open String Theory
• Marginal Solutions for the Superstring
• Tachyon Vacuum in Cubic Superstring Field Theory
• Exact Solutions in SFT and Marginal Deformation in BCFT
• String theory as a diffusing system
• Marginal Deformations and Classical Solutions in Open Superstring Field Theory
• On Ghost Structure of Vacuum Superstring Field Theory
• Solving String Field Equations: New Uses for Old Tools
• Open Superstring Star as a Continuous Moyal Product
• On Nonperturbative Solutions of Superstring Field Theory
• String Field Theory Vertices for Fermions of Integral Weight
• Bubbling AdS and Vacuum String Field Theory
• $A_{\infty }$ Action of Open $\mathcal{N}=2$ Superstring Field Theory