Schnabl's L_0 Operator in the Continuous Basis

Abstract

Following Schnabl's analytic solution to string field theory, we calculate the operators ${\mathcal{L}}_0,{\mathcal{L}}_0^{†}$ for a scalar field in the continuous $\kappa$ basis. We find an explicit and simple expression for them that further simplifies for their sum, which is block diagonal in this basis. We generalize this result for the bosonized ghost sector, verify their commutation relation and relate our expressions to wedge state representations.

1+16 pages. JHEP style. Typos corrected

References in corpus (6)

• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• On the validity of the solution of string field theory
• Perturbative diagrams in string field theory
• Virasoro operators in the continuous basis of string field theory
• Squeezed State Projectors in String Field Theory
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Cited by in corpus (19)

• Analytic Solutions for Marginal Deformations in Open String Field Theory
• Analytic solutions for marginal deformations in open superstring field theory
• Real analytic solutions for marginal deformations in open superstring field theory
• Marginal deformations in string field theory
• Analytic Solutions for Tachyon Condensation with General Projectors
• The boundary state from open string fields
• Marginal deformation for the photon in superstring field theory
• Tachyon solutions in boundary and cubic string field theory
• Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
• Tachyon Condensation on Separated Brane-Antibrane System
• Dynamics and Stability of Light-Like Tachyon Condensation
• Ghost story. I. Wedge states in the oscillator formalism
• The off-shell Veneziano amplitude in Schnabl gauge
• Pure Gauge Configurations and Solutions to Fermionic Superstring Field Theories Equations of Motion
• Fluctuations around the Tachyon Vacuum in Open String Field Theory
• Geometric Tachyon to Universal Open String Tachyon
• Superstring field theory equivalence: Ramond sector
• Towards open-closed string duality: Closed Strings as Open String Fields
• Spectral properties of ghost Neumann matrices