More on Effective Potentials for Revolving D-Branes

TL;DR

This paper investigates the effective potential between revolving D-branes across various distances, using partial modular transformation, and discusses backreaction effects and the validity of the approach.

Contribution

It extends previous work by analyzing the potential for general p-branes over a wide distance range using a novel transformation technique.

Findings

Determined the potential shape for various p-branes.

Analyzed the potential behavior across different distance regimes.

Discussed backreaction effects and calculation validity.

Abstract

We continue to investigate the effective potential between a pair of D$p$-branes revolving around each other by using the technique of ${\it partial\ modular\ transformation}$ developed in our previous work. We determine the shape of the potential for general $p$ for a wide range of regions interpolating smaller and larger distances than the string scale $l_s$. We also discuss the backreaction of the D-brane system to the space-time metric and the validity of our calculations.