Brane - Anti-Brane Forces

TL;DR

This paper explores the interactions between branes and anti-branes, revealing that like sign BPS objects exhibit vanishing forces, while unlike sign pairs have complex, intractable interactions, exemplified through zero-D-brane potential analysis.

Contribution

It provides a detailed analysis of brane-anti-brane forces, highlighting differences between like and unlike sign BPS objects and illustrating complex interactions with zero-D-brane potential.

Findings

Like sign BPS objects have vanishing forces.

Unlike sign BPS objects exhibit complex interactions.

Zero-D-brane potential illustrates intractable interactions.

Abstract

The force between like sign BPS saturated objects generally vanishes. This is a reflection of the fact that BPS states are really massless uncharged particles with nonvanishing momenta in compactified directions. Two like sign BPS objects with zero relative velocity can be viewed as a boosted state of two neutral massless particles in a state of vanishing relative motion. By contrast two unlike sign BPS particles may be thought of as colliding objects moving in opposite directions in compact space. This leads to complicated interactions which are totally intractable at present. We illustrate this by considering the potential between opposite sign zero-D- branes .