On the Open String Ending on D-brane

TL;DR

This paper presents background independent solutions for open strings ending on D-branes in variable external fields, providing explicit boundary condition solutions and discussing the extension of the constraint algebra from Hamiltonian and Lagrangian perspectives.

Contribution

It introduces explicit solutions for open string boundary conditions in variable backgrounds and extends the constraint algebra framework for D-brane systems.

Findings

Explicit solutions for boundary conditions in variable backgrounds

Extension of the constraint algebra for D-brane systems

Analysis from both Hamiltonian and Lagrangian viewpoints

Abstract

We obtain background independent solutions for an open string ending on D-brane, in variable external fields. Explicit solution of the boundary conditions is given for background metric and NS-NS two-form gauge field, depending on the coordinates of the transverse to the Dp-brane directions. Extension of the constraint algebra is proposed and discussed from both Hamiltonian and Lagrangian approach viewpoint.