Schnabl's Script L0operator in the continuous basis

2006/05/31 by Ehud Fuchs, Michael Kroyter · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Basis (linear algebra) #Black Holes and Theoretical Physics #Commutation #Computer science #Diagonal #Expression (computer science) #Field (mathematics) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Simple (philosophy) #Wedge (geometry) #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/10/067

published as JHEP0610:067,2006 · 1+16 pages. JHEP style. Typos corrected

openalex publication_date 2006/10/25 · arxiv created 2006/11/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Following Schnabl's analytic solution to string field theory, we calculate the operators \cal L₀,\cal L₀^† for a scalar field in the continuous κ 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.

Citations

• Perturbative diagrams in string field theory
• D-branes as tachyon lumps in string field theory
• On spectral density of Neumann matrices
• Virasoro operators in the continuous basis of string field theory
• Squeezed State Projectors in String Field Theory
• Continuous half-string representation of string field theory
• Witten’s ghost vertex made simple

Cited by

• Analytic solutions for marginal deformations in open string field theory
• Lattice string field theory: the linear dilaton in one dimension
• Pure gauge configurations and tachyon solutions to string field theories equations of motion
• Superstring field theory equivalence: Ramond sector