Neumann Boundary Conditions from Born-Infeld Dynamics

Abstract

We show that certain excitations of the F-string/D3-brane system can be shown to obey Neumann boundary conditions by considering Born-Infeld dynamics of the F-string (viewed as a 3-brane cylindrically wrapped on an $S_2$). Excitations which are coming down the string with a polarization along a direction parallel to the brane are almost completely reflected just as in the case of all-normal excitations, but the end of the string moves freely on the 3-brane, thus realizing Polchinski's open string Neumann boundary condition dynamically. In the low energy limit w -> 0, i.e. for wavelengths much larger than the string scale only a small fraction ~w^4 of the energy escapes in the form of dipole radiation. The physical interpretation is that a string attached to the 3-brane manifests itself as an electric charge, and waves on the string cause the end point of the string to freely oscillate and therefore produce electromagnetic dipole radiation in the asymptotic outer region.

Some typos, reference added. 9 pages, 2 figures, LaTex

References in corpus (3)

• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Brane-Waves and Strings

Cited by in corpus (15)

• Quantum Computation vs. Firewalls
• The Noncommutative Bion Core
• Intersecting brane solutions in string and M-theory
• Nonabelian Phenomena on D-branes
• AdS_3 OM theory and the self-dual string or Membranes ending on the Five-brane
• Absorption Cross Section of Scalar Field in Supergravity Background
• D-Branes and their Absorptivity in Born-Infeld Theory
• Aspects of M-5 brane world volume dynamics
• Electromagnetic dipole radiation of oscillating D-branes
• Non-BPS Dyons and Branes in the Dirac-Born-Infeld Theory
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• Electromagnetic scattering on D3-brane spikes
• Neumann Boundary Conditions from D1-Brane Description at the Presence of Electric Field
• Generalized Neumann boundary condition for the scalar field
• Electrified Fluctuations in D1$\perp$D3 and D1$\perp$D5 Systems