Oscillator Representation of the BCFT Construction of D-branes in Vacuum String Field Theory

TL;DR

This paper derives an oscillator representation for D-brane solutions in vacuum string field theory, showing their equivalence and extending the method to include gauge fields, thus advancing the understanding of D-branes in string theory.

Contribution

It provides a new oscillator-based formulation of D-brane solutions in VSFT and demonstrates their equivalence, including cases with constant gauge fields.

Findings

Derived oscillator expression for D24-brane in VSFT.

Found numerical evidence for equivalence of solution families.

Extended method to include gauge field strength.

Abstract

Starting from the boundary CFT definition for the D-branes in vacuum string field theory (VSFT) given in hep-th/0105168, we derive the oscillator expression for the D24-brane solution in the VSFT on D25-brane. We show that the state takes the form of a squeezed state, similar to the one found directly in terms of the oscillators and reported in hep-th/0102112. Both the solutions are actually one parameter families of solutions. We also find numerical evidence that at least for moderately large values of the parameter $(b)$ in the oscillator construction the two families of solutions are same under a suitable redefinition of the parameter. Finally we generalize the method to computing the oscillator expression for a D-brane solution with constant gauge field strength turned on along the world volume.