Nonlinear duality-invariant conformal extension of Maxwell’s equations
Igor BandosDepartment of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain and IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, SpainKurt LechnerI.N.F.N., Sezione di Padova, and Dipartimento di Fisica e Astronomia Galileo Galilei, Universitá degli Studi di Padova, Via F. Marzolo 8, 35131 Padova, ItalyDmitri SorokinI.N.F.N., Sezione di Padova, and Dipartimento di Fisica e Astronomia Galileo Galilei, Universitá degli Studi di Padova, Via F. Marzolo 8, 35131 Padova, ItalyPaul TownsendDepartment of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
2020en
ABI
Аннотация
All nonlinear extensions of the source-free Maxwell equations preserving both $SO(2)$ electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter generalization of Born-Infeld electrodynamics. The strong-field limit is the same as that found by Bialynicki-Birula from Born-Infeld theory but the weak-field limit is a new one-parameter extension of Maxwell electrodynamics, which is interacting but admits exact light-velocity plane-wave solutions of arbitrary polarization. Small-amplitude waves on a constant uniform electromagnetic background exhibit birefringence, but one polarization mode remains lightlike.
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