Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
arXiv:hep-th/0308147 · doi:10.1103/PhysRevD.69.126001
Abstract
First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in hep-th/0304158. Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the bosonized ghost system. And 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 disc with the Neumann boundary conditions and the midpoint cone like singularity specifying by the angle excess π(N-2).
23 pages, 2 figures, RevTeX style; ref. added
References in corpus (14)
- Computing in String Field Theory Using the Moyal Star Product
- Topics in String Field Theory
- Towards Vacuum Superstring Field Theory: The Supersliver
- Diagonal Representation of Open String Star and Moyal Product
- 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
- Fermionic Ghosts in Moyal String Field Theory
- The Spectrum of the Neumann Matrix with Zero Modes
- On spectral density of Neumann matrices
- Witten's Vertex Made Simple
- Star Spectroscopy in the Constant B field Background
- Open Superstring Star as a Continuous Moyal Product
- Zeeman Spectroscopy of the Star Algebra
Cited by in corpus (12)
- Analytical Solutions of Open String Field Theory
- Schnabl's L_0 Operator in the Continuous Basis
- Universal regularization for string field theory
- Ghost story. I. Wedge states in the oscillator formalism
- Dressed Sliver solutions in Vacuum String Field Theory
- A Note on kappa-Diagonal Surface States
- Normalization anomalies in level truncation calculations
- Ghost story. III. Back to ghost number zero
- Ghost story. II. The midpoint ghost vertex
- Descent Relations and Oscillator Level Truncation Method
- Spectral properties of ghost Neumann matrices
- Descent Relations in Cubic Superstring Field Theory