Gauge transformations on a D-brane in Vacuum String Field Theory

Abstract

We study gauge transformations of the Hata-Kawano vector state on a D25-brane in the framework of vacuum string field theory. We show that among the infinite number of components of the polarization vector, all the components except one spacetime vector degree of freedom are gauge freedom, and give string field gauge transformations reproducing gauge transformations of the constant modes of the U(1) gauge field. These gauge transformations can be used to fix the normalization of the vector field. We also discuss a difficulty in obtaining a gauge invariant action of the vector field. Our arguments rely on the factorization ansatz of gauge transformations.

LaTeX, 15 pages

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• Experimental String Field Theory
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• Continuous Half-String Representation of String Field Theory
• Higher Level Open String States from Vacuum String Field Theory
• Boundary states as exact solutions of (vacuum) closed string field theory
• D-branes as GMS Solitons in Vacuum String Field Theory
• The Perturbative Spectrum of the Dressed Sliver
• Chan-Paton factors and Higgsing from Vacuum String Field Theory
• Gauge Structure of Vacuum String Field Theory
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes