Siegel Gauge in Vacuum String Field Theory

Abstract

We study the star algebra of ghost sector in vacuum string field theory (VSFT). We show that the star product of two states in the Siegel gauge is BRST exact if we take the BRST charge to be the one found in hep-th/0108150, and the BRST exact states are nil factors in the star algebra. By introducing a new star product defined on the states in the Siegel gauge, the equation of motion of VSFT is characterized as the projection condition with respect to this new product. We also comment on the comma form of string vertex in the ghost sector.

13 pages, lanlmac; v3: comment added

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• Associativity Anomaly in String Field Theory
• Tachyon Condensation and Universal Solutions in String Field Theory
• Vacuum String Field Theory with B field
• Gauge Fixing and Scattering Amplitudes in String Field Theory Expanded around Universal Solutions
• NS Matter Sliver
• Ghost Structure and Closed Strings in Vacuum String Field Theory
• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector
• Fermionic Ghosts in Moyal String Field Theory
• Locality, Causality, and an Initial Value Formulation for Open String Field Theory
• Dressed Sliver solutions in Vacuum String Field Theory
• String Amplitudes from Moyal String Field Theory
• NS Ghost Slivers
• A fresh look at midpoint singularities in the algebra of string fields
• Witten's Vertex Made Simple
• Stretched strings in tachyon condensation models
• Interpolating State in String Field Theory