On the constrained structure of duality symmetric Maxwell theory

TL;DR

This paper explores the constrained Hamiltonian and symplectic structures of duality symmetric Maxwell theory, highlighting the advantages of the symplectic approach over the Dirac method and discussing differences from standard Maxwell theory.

Contribution

It provides a comparative analysis of Hamiltonian and symplectic formulations for duality symmetric Maxwell theory, emphasizing the efficiency of the symplectic approach.

Findings

Symplectic approach is more economical and elegant than Dirac's method.

Distinct constrained structures compared to standard Maxwell theory.

Implications of these differences are discussed.

Abstract

The constrained structure of the duality invariant form of Maxwell theory is considered in the Hamiltonian formulation of Dirac as well as from the symplectic viewpoint. Compared to the former the latter approach is found to be more economical and elegant. Distinctions from the constrained analysis of the usual Maxwell theory are pointed out and their implications are also discussed.