Open String Field Theory on Noncommutative Space

Abstract

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting theory has an additional factor. The factor makes the zero modes of strings noncommutative. This is in agreement with the results in the first-quantized formulation. We also discuss background independence of the purely cubic action derived from the above string field theory and then find a redefinition of string fields to remove the additional factor from the vertex. Furthermore, we briefly discuss the supersymmetric extension of our string field theory.

22 pages, lanlmac, references added

References in corpus (4)

• A New Approach to Superstring Field Theory
• Four-Point Amplitude from Open Superstring Field Theory
• D-brane Physics and Noncommutative Yang-Mills Theory
• Witten's Open String Field Theory in Constant B-Field Background

Cited by in corpus (24)

• Comments on noncommutative gravity
• The singular geometry of the sliver
• Analytical Solutions of Open String Field Theory
• Open membranes in a constant C-field background and noncommutative boundary strings
• Noncommutative Tachyon from Background Independent Open String Field Theory
• Vacuum String Field Theory with B field
• B field and squeezed states in Vacuum String Field Theory
• Vacuum String Field Theory ancestors of the GMS solitons
• Star Spectroscopy in the Constant B field Background
• Open-Closed String Field Theory in the Background B-Field
• Cardy states, factorization and idempotency in closed string field theory
• Open Wilson Lines as States of Closed String
• Boundary States in B-Field Background
• Bubbling AdS and Vacuum String Field Theory
• Zeeman Spectroscopy of the Star Algebra
• Time-localized projectors in String Field Theory with E-field
• Tachyon Vacuum Solution in Open String Field Theory with Constant B Field
• Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background
• Fundamental strings in SFT
• Twist Quantization of String and B Field Background
• String field theory solution corresponding to constant background magnetic field
• Non-commutative Space And Chan-Paton Algebra In Open String Field Algebra
• Matrix Model and String Field Theory
• Moyal Representation of the String Field Star Product in the Presence of a B-background