Electrified Fluctuations in D1$\bot$D3 and D1$\bot$D5 Systems

TL;DR

This paper investigates the transverse fluctuations of electrified funnel solutions in D1-D3 and D1-D5 brane systems within a flat background, focusing on a realistic electric field range and boundary conditions.

Contribution

It extends previous work by analyzing fluctuations with a finite electric field range and explores the D1-D5 system, providing new insights into boundary conditions and physical behavior.

Findings

Boundary conditions are Neumann for the fluctuations.

Electric field range is limited to [0, 1/λ[ for physical relevance.

Extended analysis to D1-D5 system with similar fluctuation behavior.

Abstract

We present the physical phenomenon of the subject discussed in the paper \cite{fluc}. In that paper we dealt with the fluctuations of funnel solutions of intersecting D1 and D3 branes and the electric field $E$ was considered as very high value causing the results to be non-physical. In the present work, the variation interval of $E$ is to be $[0,\frac{1}{\lambda}[$. Then, we extend the study to discuss the overall transverse fluctuations of electrified funnel solutions of D1$\bot$D5 system in the flat background. The boundary conditions are found to be Neumann boundary conditions.