Spectral properties of ghost Neumann matrices
arXiv:0801.2099 · doi:10.1103/PhysRevD.77.106001
Abstract
We continue the analysis of the ghost wedge states in the oscillator formalism by studying the spectral properties of the ghost matrices of Neumann coefficients. We show that the traditional spectral representation is not valid for these matrices and propose a new heuristic formula that allows one to reconstruct them from the knowledge of their eigenvalues and eigenvectors. It turns out that additional data, which we call boundary data, are needed in order to actually implement the reconstruction. In particular our result lends support to the conjecture that there exists a ghost three strings vertex with properties parallel to those of the matter three strings vertex.
29 pages
References in corpus (26)
- 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
- Proof of vanishing cohomology at the tachyon vacuum
- Half-strings, Projectors, and Multiple D-branes in Vacuum String Field Theory
- Analytic Solutions for Marginal Deformations in Open String Field Theory
- Comments on Marginal Deformations in Open String Field Theory
- Wedge states in string field theory
- Analytic solutions for marginal deformations in open superstring field theory
- Real analytic solutions for marginal deformations in open superstring field theory
- On the validity of the solution of string field theory
- Marginal deformations in string field theory
- Star Algebra Projectors
- Open String States around a Classical Solution in Vacuum String Field Theory
- Analytic Solutions for Tachyon Condensation with General Projectors
- Comma Vertex and String Field Algebra
- Ghost Kinetic Operator of Vacuum String Field Theory
- Some Properties of String Field Algebra
- Schnabl's L_0 Operator in the Continuous Basis
- Topics in String Field Theory
- Solving Open String Field Theory with Special Projectors
- Universal regularization for string field theory
- Squeezed State Projectors in String Field Theory
- Ghost story. I. Wedge states in the oscillator formalism
- Witten's Vertex Made Simple
- Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
- Star Democracy in Open String Field Theory