Ghost Kinetic Operator of Vacuum String Field Theory

Abstract

Using the data of eigenvalues and eigenvectors of Neumann matrices in the 3-string vertex, we prove analytically that the ghost kinetic operator of vacuum string field theory obtained by Hata and Kawano is equal to the ghost operator inserted at the open string midpoint. We also comment on the values of determinants appearing in the norm of sliver state.

19 pages, 1 figure, lanlmac; v2: typos corrected

References in corpus (12)

• Split string field theory I
• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• Split string field theory II
• Open String States around a Classical Solution in Vacuum String Field Theory
• Comma Vertex and String Field Algebra
• Some Properties of String Field Algebra
• Open String Fields As Matrices
• Oscillator Representation of the BCFT Construction of D-branes in Vacuum String Field Theory
• Excitations on wedge states and on the sliver
• BCFT and Sliver state
• Projection Operators and D-branes in Purely Cubic Open String Field Theory
• Identity Projector and D-brane in String Field Theory

Cited by in corpus (47)

• Tachyon Dynamics in Open String Theory
• Experimental String Field Theory
• Analytical Solutions of Open String Field Theory
• Ratio of Tensions from Vacuum String Field Theory
• Star Algebra Projectors
• Open string states and D-brane tension from vacuum string field theory
• Open String Star as a Continuous Moyal Product
• Schnabl's L_0 Operator in the Continuous Basis
• Construction of the Vacuum String Field Theory on a non-BPS Brane
• Associativity Anomaly in String Field Theory
• Tachyon Condensation and Universal Solutions in String Field Theory
• Exact Results on Twist Anomaly
• Anomalous reparametrizations and butterfly states in string field theory
• Virasoro operators in the continuous basis of string field theory
• Vacuum String Field Theory with B field
• On Continuous Moyal Product Structure in String Field Theory
• Continuous Half-String Representation of String Field Theory
• Squeezed State Projectors in 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
• The Spectrum of the Neumann Matrix with Zero Modes
• Patterns in Open String Field Theory Solutions
• String Amplitudes from Moyal String Field Theory
• On Ghost Structure of Vacuum Superstring Field Theory
• Boundary states as exact solutions of (vacuum) closed string field theory
• Witten's Vertex Made Simple
• Reexamining Classical Solution and Tachyon Mode in Vacuum String Field Theory
• Analytic Study of Nonperturbative Solutions in Open String Field Theory
• Open Superstring Star as a Continuous Moyal Product
• Star Democracy in Open String Field Theory
• Comments on Solutions of Vacuum Superstring Field Theory
• D-branes as GMS Solitons in Vacuum String Field Theory
• Normalization anomalies in level truncation calculations
• String Field Theory Projectors for Fermions of Integral Weight
• Ghost story. III. Back to ghost number zero
• The Perturbative Spectrum of the Dressed Sliver
• String Field Theory Vertices for Fermions of Integral Weight
• Zeeman Spectroscopy of the Star Algebra
• Ghost story. II. The midpoint ghost vertex
• Boundary and Midpoint Behaviors of Lump Solutions in Vacuum String Field Theory
• Stretched strings in tachyon condensation models
• Gauge Structure of Vacuum String Field Theory
• Spectral properties of ghost Neumann matrices
• Descent Relations in Cubic Superstring Field Theory
• Lattice String Field Theory: The linear dilaton in one dimension