Journal of Mathematical Physics, Volume 61, Issue 12, December 2020. It is shown that the zilch conservation law arises as the Noether current corresponding to a variational symmetry of a duality-symmetric Maxwell Lagrangian. The action of the corresponding symmetry generator on the duality-symmetric Lagrangian, while non-vanishing, is a total divergence as required by the Noether theory. The variational nature of the zilch conservation law was previously known only for some of the components of the zilch tensor, notably the optical chirality. By contrast, our analysis is fully covariant and is, therefore, valid for all components of the zilch tensor. The analysis is presented here for both the real and complex versions of duality-symmetric Maxwell Lagrangians.

## Authors

## Departments

## Libraries

## Recent Articles

- Mechanisms of particle preferential concentration induced by secondary motions in a dilute turbulent square duct flow
- The most popular Physics Today articles of 2020
- More on doubled aspects of algebroids in double field theory
- The zilch electromagnetic conservation law revisited
- Twisted waves in symmetric and asymmetric bi-ion kappa-distributed plasmas
- Shielded radiography with gamma rays from laser-accelerated electrons in a self-trapping regime
- CSES observations of ELF wave radiation excited by the EISCAT heater
- Warm dense matter simulation via electron temperature dependent deep potential molecular dynamics
- Amplification of separated electric charge field due to the capture of laser-produced fast electrons oscillating near thin target
- Thermomagnetic instability of plasma composition gradients
- Extended source of indistinguishable polarization-entangled photons over wide angles of emission
- Extended source of indistinguishable polarization-entangled photons over wide angles of emission
- Nature journals debut open-access models
- Characterization of trap states in buried nitrogen-implanted β-Ga2O3
- Piston driven converging cylindrical shock waves in a non-ideal gas with azimuthal magnetic field
- [math]-operators on hom-Lie algebras
- The classical limit of mean-field quantum spin systems
- Effect of heating on spin-motive force induced by magnetic resonance
- 3D printing-assistant method for magneto-active pulse pump: Experiment, simulation, and deformation theory
- Electromechanical coupling and motion transduction in β-Ga2O3 vibrating channel transistors