Nonlinear Electromagnetic Self-Duality and Legendre Transformations

Abstract

We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. Special discrete elements of the continuous group are shown to be related to the Legendre transformation with respect to the field strengths.

17 pages, full postscript available from http://theor1.lbl.gov/www/theorygroup/papers/41110.ps

Cited by in corpus (20)

• Supersymmetric Duality Rotations
• On p-form gauge theories and their conformal limits
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Hall Conductivity of Flavor Fields from AdS/CFT
• On the component structure of N = 1 supersymmetric nonlinear electrodynamics
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• Non-Linear Electrodynamics in Curved Backgrounds
• Self-dual effective action of N = 4 SYM revisited
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Duality-invariant extensions of Einstein-Maxwell theory
• Nonlinear self-duality in N = 2 supergravity
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Self-duality, helicity conservation and normal ordering in nonlinear QED
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• Non-compact duality, super-Weyl invariance and effective actions
• Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
• A Note on Duality Symmetry in Nonlinear Gauge Theories
• ModMax meets Susy
• Self-dual supersymmetric nonlinear sigma models
• Auxiliary tensor fields for Sp(2,R) self-duality