Open Superstring Star as a Continuous Moyal Product

Abstract

By diagonalizing the three-string vertex and using a special coordinate representation the matter part of the open superstring star is identified with the continuous Moyal product of functions of anti-commuting variables. We show that in this representation the identity and sliver have simple expressions. The relation with the half-string fermionic variables in continuous basis is given.

Latex, 19 pages; more comments added and notations are simplified

References in corpus (14)

• Star Algebra Spectroscopy
• Open String Star as a Continuous Moyal Product
• Ghost Kinetic Operator of Vacuum String Field Theory
• Computing in String Field Theory Using the Moyal Star Product
• Construction of the Vacuum String Field Theory on a non-BPS Brane
• Towards Vacuum Superstring Field Theory: The Supersliver
• Diagonal Representation of Open String Star and Moyal Product
• Associativity Anomaly in String Field Theory
• On Continuous Moyal Product Structure in String Field Theory
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• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector
• NS Ghost Slivers
• Comments on Solutions of Vacuum Superstring Field Theory
• Solutions of Vacuum Superstring Field Theory

Cited by in corpus (12)

• Computing in String Field Theory Using the Moyal Star Product
• Exact Solutions in SFT and Marginal Deformation in BCFT
• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector
• Fermionic Ghosts in Moyal String Field Theory
• String Amplitudes from Moyal String Field Theory
• Witten's Vertex Made Simple
• Analytic Study of Nonperturbative Solutions in Open String Field Theory
• Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
• A Note on kappa-Diagonal Surface States
• String Field Theory Projectors for Fermions of Integral Weight
• Descent Relations in Cubic Superstring Field Theory
• Moyal Representation of the String Field Star Product in the Presence of a B-background