Witten's Cubic Open String Field Theory on multiple $Dp$-branes

Abstract

We study Witten's cubic open string field theory on multiple $Dp$-branes. On multiple $Dp$-branes the string fields carry $U(N)$ group indices. Mapping the string world-sheet onto the upper half complex plane and evaluating the Polyakov string path integral of Witten's cubic open string, we obtain a Fock space representation of one, two and three-string vertex operators. In the low energy region, the system is described by massless gauge fields and massless scalar fields, carrying $U(N)$ group indices. The two-string vertex induces mass terms for the gauge fields and the scalar fields. The cubic interaction reduces correctly to the cubic term of the non-Abelian gauge fields, cubic interaction terms of the gauge fields, and the scalar fields on $(p+1)$ dimensional space. Thus, Witten's string field theory may be a useful tool to study the quantum dynamics of open strings on multiple $Dp$-branes.

arXiv comment25 pages, 7 figures. arXiv admin note: text overlap with arXiv:2201.09632. New references are added

References in corpus (37)

• Dirichlet-Branes and Ramond-Ramond Charges
• M Theory As A Matrix Model: A Conjecture
• A Large-N Reduced Model as Superstring
• Tachyon Condensation on the Brane Antibrane System
• The D1/D5 System And Singular CFT
• On Background Independent Open-String Field Theory
• Tachyon condensation in string field theory
• D-branes as Tachyon Lumps in String Field Theory
• Half-strings, Projectors, and Multiple D-branes in Vacuum String Field Theory
• Scattering of Strings from D-branes
• Level truncation and the tachyon in open bosonic string field theory
• D-Branes as Unstable Lumps in Bosonic Open String Field Theory
• Non-BPS States and Branes in String Theory
• D-brane effective field theory from string field theory
• Experimental String Field Theory
• String Field Theory from IIB Matrix Model
• Taming the Tachyon in Cubic String Field Theory
• Tachyon Condensation, Boundary State and Noncommutative Solitons
• Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
• c=1 Matrix Model from String Field Theory
• Tachyon Condensation and Open String Field theory
• Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
• Deformation of the Cubic Open String Field Theory
• Gauge transformations on a D-brane in Vacuum String Field Theory
• Projection Operators and D-branes in Purely Cubic Open String Field Theory
• Covariant open bosonic string field theory on multiple D-branes in the proper-time gauge
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings
• Tachyon Lump Solutions of Bosonic D-branes on SU(2) Group Manifolds in Cubic String Field Theory
• Covariant Open String Field Theory on Multiple $Dp$-Branes
• String Field Theories from One Matrix Models
• High-energy Massive String Scatterings from Orientifold Planes
• Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• Cubic Closed String Field Theory on a Double Layer
• Note on a Closed String Field Theory from Bosonic IIB Matrix Model
• A Matrix model from string field theory