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 (26)

• Universality of the Tachyon Potential
• Analytical construction of a nonperturbative vacuum for the open bosonic string
• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• D-branes as Tachyon Lumps in String Field Theory
• Effective Tachyon Dynamics in Superstring Theory
• Tachyon potentials, star products and universality
• D-Branes as Unstable Lumps in Bosonic Open String Field Theory
• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• Star Algebra Spectroscopy
• Wedge states in string field theory
• On the validity of the solution of string field theory
• Open String Star as a Continuous Moyal Product
• Comma Vertex and String Field Algebra
• Ghost Kinetic Operator of Vacuum String Field Theory
• Lumps and P-branes in Open String Field Theory
• Perturbative diagrams in string field theory
• Virasoro operators in the continuous basis of string field theory
• On Continuous Moyal Product Structure in String Field Theory
• Continuous Half-String Representation of String Field Theory
• Squeezed State Projectors in String Field Theory
• On spectral density of Neumann matrices
• A fresh look at midpoint singularities in the algebra of string fields
• A Note on kappa-Diagonal Surface States
• Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
• Normalization anomalies in level truncation calculations
• On surface states and star-subalgebras in string field theory

Cited by in corpus (38)

• Analytic Solutions for Marginal Deformations in Open String Field Theory
• Exact marginality in open string field theory: a general framework
• Analytical Solutions of Open String Field Theory
• Split String Formalism and the Closed String Vacuum, II
• 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
• Solutions from boundary condition changing operators in open string field theory
• Analytic Solutions for Tachyon Condensation with General Projectors
• General marginal deformations in open superstring field theory
• 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
• On the classical equivalence of superstring field theories
• Linear b-Gauges for Open String Fields
• Solving Open String Field Theory with Special Projectors
• Solutions from boundary condition changing operators in open superstring field theory
• Universal regularization for 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
• Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion
• Ghost story. I. Wedge states in the oscillator formalism
• One-Loop Riemann Surfaces in Schnabl Gauge
• 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
• Ghost story. III. Back to ghost number zero
• Geometric Tachyon to Universal Open String Tachyon
• Ghost story. II. The midpoint ghost vertex
• Towards open-closed string duality: Closed Strings as Open String Fields
• TFD Extension of Open String Field Theory
• Numerical solution for tachyon vacuum in the Schnabl gauge
• Superstring field theory equivalence: Ramond sector
• Level Truncation Approach to Open String Field Theory
• Numerical solution of open string field theory in Schnabl gauge
• Spectral properties of ghost Neumann matrices
• Lattice String Field Theory: The linear dilaton in one dimension