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.
Cite
@article{arxiv.1310.5362,
title = {New Approach to Duality-Invariant Nonlinear Electrodynamics},
author = {Evgeny Ivanov and Olaf Lechtenfeld and Boris Zupnik},
journal= {arXiv preprint arXiv:1310.5362},
year = {2015}
}
Comments
13 pages, Talk given by E. Ivanov at the conference "Integrable Systems and Quantum Symmetries", Prague, June 11 - 16, 2013