p-brane Dyons, theta-terms and Dimensional Reduction

TL;DR

This paper introduces two new derivations for the charge quantization condition of p-brane dyons in specific dimensions, highlighting the roles of theta-terms and dimensional reduction effects.

Contribution

It provides novel derivations of the (-)^p factor in p-brane dyon charge quantization, connecting theta-terms and compactification effects.

Findings

Derived the (-)^p factor using charge shift consistency with theta-terms.

Linked sign differences to effects of dimensional reduction.

Enhanced understanding of charge quantization in p-brane theories.

Abstract

We present two novel derivations of the recently established $(-)^p$ factor in the charge quantization condition for $p$-brane dyon sources in spacetime dimension $D$=$2p$+2. The first requires consistency of the condition under the charge shifts produced by (generalized) $\theta$-terms. The second traces the sign difference between adjoining dimensions to compactification effects.