Sources for Generalized Gauge Fields

TL;DR

This paper explores the nature of sources for generalized gauge fields, revealing that they are extended objects resembling branes with interwoven structures, generalizing magnetic poles in higher-dimensional gravity.

Contribution

It introduces a new class of sources for generalized gauge fields, characterized as branes with embedded currents, extending the concept of magnetic poles to higher dimensions.

Findings

Generalized gauge field sources are interwoven branes.

The Dirac quantization condition applies to these extended objects.

These sources generalize magnetic poles in higher-dimensional gravity.

Abstract

Generalized gauge fields are tensor fields with mixed symmetries. For gravity and higher spins in dimensions greater than four, the fundamental field in the "magnetic representation" is a generalized gauge field. It is shown that the analog of a point source for a generalized gauge field is a special type of brane whose worldsheet has another brane interwoven into it: a current within a current. In the case of gravity in higher dimensions, this combined extended object is the generalization of a magnetic pole. The Dirac quantization condition for the "electric" and "magnetic" strengths holds.