Vertex Operators for Super Yang-Mills and Multi D-Branes in Green-Schwarz Superstring

TL;DR

This paper develops covariant vertex operators for super Yang-Mills and multi D-branes within the Green-Schwarz superstring framework, ensuring supersymmetry and gauge invariance, and explores the nonlinear realization of broken supersymmetry.

Contribution

It introduces contact terms and proves space-time supersymmetry and gauge invariance for vertex operators in the Green-Schwarz formalism, advancing understanding of D-brane symmetries.

Findings

Contact terms are naturally incorporated.

Space-time supersymmetry and gauge invariance are proven.

Exact symmetry of D-branes under fermionic shifts in static gauge.

Abstract

We study vertex operators for super Yang-Mills and multi D-branes in covariant form using Green-Schwarz formalism. We introduce the contact terms naturally and prove space-time supersymmetry and gauge invariance. The nonlinear realization of broken supersymmetry in the presence of D-branes is also discussed. The shift of fermionic coordinate \delta^{(-)}\Psi =\eta becomes exact symmetry of D-brane in the static gauge, where $\eta$ is a constant spinor in U(1) direction.