Witten’s ghost vertex made simple

2003/08/31 by D. M. Belov, D.M. Belov · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.1103/physrevd.69.126001

published as Phys.Rev. D69 (2004) 126001 · 23 pages, 2 figures, RevTeX style; ref. added

arxiv created 2003/09/28 · openalex publication_date 2004/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in Phys. Rev. D 68, 066003 (2003). Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the bosonized ghost system. Third, we verify the descent and associativity relations for the combined bosonic matter+ghost gluing vertices. We find that in order for these relations to be true, the vertices must be normalized by the factor Z_N. Here Z_N is the partition function of the bosonic matter+ghost CFT on the gluing surface, which is the unit disk with the Neumann boundary conditions and the midpoint conelike singularity specified by the angle excess \ensuremathπ(N\ensuremath-2).

Citations

• Diagonal Representation of Open String Star and Moyal Product
• On spectral density of Neumann matrices
• Infinite conformal symmetry in two-dimensional quantum field theory
• Witten’s vertex made simple
• Virasoro operators in the continuous basis of string field theory
• Continuous half-string representation of string field theory

Cited by

• Schnabl's Script L0operator in the continuous basis
• Normalization anomalies in level truncation calculations