Covariant Open String Field Theory on Multiple $Dp$-Branes

Abstract

We study covariant open bosonic string field theories on multiple $Dp$-branes by using the deformed cubic string field theory which is equivalent to the string field theory in the proper-time gauge. Constructing the Fock space representations of the three-string vertex and the four-string vertex on multiple $Dp$-branes, we obtain the field theoretical effective action in the zero-slope limit. On the multiple $D0$-branes, the effective action reduces to the Banks-Fishler-Shenker-Susskind (BFSS) matrix model. We also discuss the relation between the open string field theory on multiple $D$-instantons in the zero-slope limit and the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model. The covariant open string field theory on multiple $Dp$-branes would be useful to study the non-perturbative properties of quantum field theories in $(p+1)$-dimensions in the framework of the string theory. The non-zero-slope corrections may be evaluated systematically by using the covariant string field theory.

17 pages, 7 figures, references added

References in corpus (6)

• The Lauricella Functions and Exact String Scattering Amplitudes
• Deformation of the Cubic Open String Field Theory
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Yang-Mills Gauge Conditions from Witten's Open String Field Theory
• Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes

Cited by in corpus (8)

• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• NSR Open Super-string in the proper-time gauge I: Free Field Theory
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• BRST Ghost-Vertex Operator in Witten's Cubic Open String Field Theory on Multiple $Dp$-branes