Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics

TL;DR

This paper develops a comprehensive framework for nonlinear classical electrodynamics using generalized constitutive relations, extends it to include supersymmetry via superfields, and encompasses diverse media and nonlocal effects.

Contribution

It introduces a broad, unified description of nonlinear and supersymmetric electrodynamics, including non-Lagrangian theories and various media types, with a superfield formulation for supersymmetry.

Findings

Formulated a general nonlinear electrodynamics framework.

Extended the theory to include supersymmetry with superfields.

Incorporated diverse media and nonlocal effects into the model.

Abstract

We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach includes non-Lagrangian as well as Lagrangian theories, allows for electromagnetic fields in the widest possible variety of media (anisotropic, piroelectric, chiral and ferromagnetic), and accommodates the incorporation of nonlocal effects. We formulate electric-magnetic duality in terms of the constitutive tensors. We then propose a supersymmetric version of the general constitutive equations, in a superfield approach.