New approach to duality-invariant nonlinear electrodynamics

21st International Conference on Integrable Systems and Quantum Symmetries

Ivanov, E.^1 ; Lechtenfeld, O.^2 ; Zupnik, B.^1

Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow Region, Russia^1

Institut für Theoretische Physik, Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany^2

关键词: Auxiliary-fields;    Field strengths;    Higher derivatives;    Invariant interaction;    Invariant systems;    New approaches;    Self-dual;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012023/pdf
DOI  :  10.1088/1742-6596/474/1/012023

来源: IOP

【 摘 要 】

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 N = 1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.