New Approach to Duality-Invariant Nonlinear Electrodynamics

Abstract

We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1) invariant interaction of the auxiliary fields, while the standard self-dual Lagrangians appear on shell as a result of eliminating auxiliary fields by their equations of motion. Starting from the simplest U(1) duality, we show how this approach can be generalized to the U(N) duality (with N independent Maxwell field strengths), as well as to self-dual systems of {\cal N}=1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.

13 pages, Talk given by E. Ivanov at the conference "Integrable Systems and Quantum Symmetries", Prague, June 11 - 16, 2013

References in corpus (6)

• E7(7) symmetry in perturbatively quantised N=8 supergravity
• N=8 Counterterms and E7(7) Current Conservation
• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited
• Duality rotations in supersymmetric nonlinear electrodynamics revisited
• Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories
• Auxiliary superfields in N=1 supersymmetric self-dual electrodynamics

Cited by in corpus (2)

• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Self-duality, helicity conservation and normal ordering in nonlinear QED