BRST Ghost-Vertex Operator in Witten's Cubic Open String Field Theory on Multiple $Dp$-branes

Abstract

The Becchi-Rouet-Stora-Tyutin (BRST) ghost field is a key element in constructing Witten's cubic open string field theory. However, to date, the ghost sector of the string field theory has not received a great deal of attention. In this study, we address the BRST ghost on multiple $Dp$-branes, which carries non-Abelian indices and couples to a non-Ablelian gauge field. We found that the massless components of the BRST ghost field can play the role of the Faddeev-Popov ghost in the non-Alelian gauge field, such that the string field theory maintains the local non-Abelian gauge invariance.

23 pages, 1 figure, new references are added. Some typos are corrected

References in corpus (5)

• Deformation of the Cubic Open String Field Theory
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Covariant Open String Field Theory on Multiple $Dp$-Branes
• Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge
• Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge