(p,q)-form Kaehler Electromagnetism

TL;DR

This paper introduces a gauge-invariant extension of Maxwell's equations and p-form electromagnetism within Kaehler spacetimes, broadening the theoretical framework for electromagnetic phenomena in complex geometric settings.

Contribution

It provides the first gauge-invariant formulation of p-form electromagnetism on Kaehler manifolds, integrating complex geometry with electromagnetic theory.

Findings

Established a generalized gauge-invariant framework for p-form electromagnetism on Kaehler manifolds

Extended classical Maxwell equations to complex geometric settings

Potential applications in string theory and complex geometry

Abstract

We present a gauge invariant generalization of Maxwell's equations and p-form electromagnetism to Kaehler spacetimes.