Some Properties of String Field Algebra

Abstract

We examine string field algebra which is generated by star product in Witten's string field theory including ghost part. We perform calculations using oscillator representation consistently. We construct wedge like states in ghost part and investigate algebras among them. As a by-product we have obtained some solutions of vacuum string field theory. We also discuss some problems about identity state. We hope these calculations will be useful for further investigation of Witten type string field theory.

26 pages, typos corrected, v3:Eq.(92) corrected, v4:to be published in JHEP

Cited by in corpus (36)

• Tachyon Dynamics in Open String Theory
• Observables of String Field Theory
• Wedge states in string field theory
• The singular geometry of the sliver
• Ratio of Tensions from Vacuum String Field Theory
• Star Algebra Projectors
• Ghost Kinetic Operator of Vacuum String Field Theory
• Computing in String Field Theory Using the Moyal Star Product
• Observables as Twist Anomaly in Vacuum String Field Theory
• Construction of the Vacuum String Field Theory on a non-BPS Brane
• Siegel Gauge in Vacuum String Field Theory
• Associativity Anomaly in String Field Theory
• Exact Results on Twist Anomaly
• Exact Solutions in SFT and Marginal Deformation in BCFT
• Vacuum String Field Theory with B field
• NS Matter Sliver
• CFT Description of Identity String Field: Toward Derivation of the VSFT Action
• B field and squeezed states in Vacuum String Field Theory
• Some exact computations on the twisted butterfly state in string field theory
• Ghost story. I. Wedge states in the oscillator formalism
• Fermionic Ghosts in Moyal String Field Theory
• Dressed Sliver solutions in Vacuum String Field Theory
• Higher Level Open String States from Vacuum String Field Theory
• String Amplitudes from Moyal String Field Theory
• Boundary states as exact solutions of (vacuum) closed string field theory
• NS Ghost Slivers
• Gauge transformations on a D-brane in Vacuum String Field Theory
• Reexamining Classical Solution and Tachyon Mode in Vacuum String Field Theory
• Comments on Solutions of Vacuum Superstring Field Theory
• Ghost story. III. Back to ghost number zero
• String Field Theory Vertices for Fermions of Integral Weight
• Ghost story. II. The midpoint ghost vertex
• Stretched strings in tachyon condensation models
• Gauge Structure of Vacuum String Field Theory
• Descent Relations and Oscillator Level Truncation Method
• Spectral properties of ghost Neumann matrices