On Continuous Moyal Product Structure in String Field Theory

Abstract

We consider a diagonalization of Witten's star product for a ghost system of arbitrary background charge and Grassmann parity. To this end we use a bosonized formulation of such systems and a spectral analysis of Neumann matrices. We further identify a continuous Moyal product structure for a combined ghosts+matter system. The normalization of multiplication kernel is discussed.

18+7 pages, 1 figure, typos corrections

References in corpus (2)

• Diagonal Representation of Open String Star and Moyal Product
• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector

Cited by in corpus (23)

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• Analytical Solutions of Open String Field Theory
• Schnabl's L_0 Operator in the Continuous Basis
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• Continuous Half-String Representation of String Field Theory
• Fermionic Ghosts in Moyal String Field Theory
• String Amplitudes from Moyal String Field Theory
• On spectral density of Neumann matrices
• Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
• A fresh look at midpoint singularities in the algebra of string fields
• Witten's Vertex Made Simple
• Analytic Study of Nonperturbative Solutions in Open String Field Theory
• A Note on kappa-Diagonal Surface States
• Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
• Normalization anomalies in level truncation calculations
• String Field Theory Projectors for Fermions of Integral Weight
• Improved Off-Shell Scattering Amplitudes in String Field Theory and New Computational Methods
• Descent Relations and Oscillator Level Truncation Method
• Representation of small conformal algebra
• Descent Relations in Cubic Superstring Field Theory
• Moyal Representation of the String Field Star Product in the Presence of a B-background