New approach to nonlinear electrodynamics: dualities as symmetries of interaction

Abstract

We elaborate on the duality-symmetric nonlinear electrodynamics in a new formulation with auxiliary tensor fields. The Maxwell field strength appears only in bilinear terms of the corresponding generic Lagrangian, while the self-interaction is presented by a function E depending on the auxiliary fields. Two types of dualities inherent in the nonlinear electrodynamics models admit a simple off-shell characterization in terms of this function. In the standard formulation, the continuous U(1) duality symmetry is nonlinearly realized on the Maxwell field strength. In the new setting, the same symmetry acts as linear U(1) transformations of the auxiliary field variables. The nonlinear U(1) duality condition proves to be equivalent to the linear U(1) invariance of the self-interaction E. The discrete self-duality (or self-duality by Legendre transformation) amounts to a weaker reflection symmetry of E. For a class of duality- symmetric Lagrangians we introduce an alternative representation with the auxiliary scalar field and find new explicit examples of such systems.

Latex file, 21 pages

References in corpus (3)

• N=3 supersymmetric Born-Infeld theory
• Deformations of duality-symmetric theories
• New representation for Lagrangians of self-dual nonlinear electrodynamics

Cited by in corpus (40)

• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• On p-form gauge theories and their conformal limits
• On the component structure of N = 1 supersymmetric nonlinear electrodynamics
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Duality-invariant (super)conformal higher-spin models
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Self-dual effective action of N = 4 SYM revisited
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Duality rotations in supersymmetric nonlinear electrodynamics revisited
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Unifying the PST and the auxiliary tensor field formulations of 4D self-duality
• Manifestly duality-invariant interactions in diverse dimensions
• Self-duality, helicity conservation and normal ordering in nonlinear QED
• A supersymmetric nonlinear sigma model analogue of the ModMax theory
• Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
• Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields
• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited: The U(N) Case
• 4D Chern-Simons theory with auxiliary fields
• New Approach to Duality-Invariant Nonlinear Electrodynamics
• Two-Field Born-Infeld with Diverse Dualities
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets
• The Courant-Hilbert construction in 4D Chern-Simons theory
• Self-dual supersymmetric nonlinear sigma models
• Democratic Lagrangians for Nonlinear Electrodynamics
• Auxiliary tensor fields for Sp(2,R) self-duality
• Nonlinear (chiral) p-form electrodynamics
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
• On SL(2;R) symmetry in nonlinear electrodynamics theories
• On Multifield Born and Born-Infeld Theories and their non-Abelian Generalizations
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory
• On Current-Squared Flows and ModMax Theories