Interacting open p-branes

TL;DR

This paper generalizes the Kalb-Ramond action to describe interactions between open p-branes in D-dimensional space-time, revealing that their mediating fields are massive gauge fields due to boundary effects.

Contribution

It extends the Kalb-Ramond framework to open p-branes, highlighting the emergence of massive gauge fields from boundary conditions, a novel insight in p-brane interaction theory.

Findings

Open p-branes interact via massive gauge fields.

Boundary surfaces of open p-branes lead to massive mediating fields.

The theory differs from closed p-branes with massless gauge fields.

Abstract

The Kalb-Ramond action, derived for interacting strings through an action-at-a-distance force, is generalized to the case of interacting p-dimensional objects (p-branes) in D-dimensional space-time. The open p-brane version of the theory is especially taken up. On account of the existence of their boundary surface, the fields mediating interactions between open p-branes are obtained as massive gauge fields, quite in contrast to massless gauge ones for closed p-branes.