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Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP, Physics, Optics, physics.optics
Abstract:
In this paper we consider the zilch conservation laws for Maxwell theory and
demonstrate that in the duality-symmetric version of Maxwell theory, the zilch
arises as a Noether current for a variational symmetry of the duality symmetric
Lagrangian which we identify through an application of the reverse of the
Noether theorem. A variational symmetry leaves Lagrangian invariant up to a
total divergence, without restricting to solutions of the field equations. This
fact was previously known only for the so-called chirality current, i.e. the
$00$-component of zilch.
