Symplectic reduction of p-form electrodynamics

TL;DR

This paper introduces a straightforward reduction method for p-form electrodynamics that reveals a p-dependent sign in the canonical structure, linking classical reduction to quantum properties of p-brane dyons.

Contribution

The paper presents a novel reduction technique for p-form electrodynamics highlighting a p-dependent sign in the canonical structure, connecting classical and quantum aspects.

Findings

Canonical structure exhibits a p-dependent sign.

The sign difference relates to the parity of p.

Implications for p-brane dyon quantization.

Abstract

We propose a simple method to reduce a general p-form electrodynamics with respect to the standard Gauss constraints. The canonical structure of the reduced theory displays a p-dependent sign which makes the essential difference between theories with different parities of p. This feature was observed recently in the corresponding quantization condition for p-brane dyons. It suggests that these two structures are closely related.