@inproceedings{208835baee0d45dbbbb8a3a9df34913d,
title = "Conformal inversion and maxwell field invariants in four- and six-dimensional spacetimes",
abstract = "Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal inversion acts via reflection in a single coordinate. Hexaspherical coordinates facilitate dimensional reduction of Maxwell electromagnetic field strength tensors to (3+1) from (4+2) dimensions. Here we focus on the operation of conformal inversion in different coordinatizations, and write some useful equations. We then write a conformal invariant and a pseudo-invariant in terms of field strengths; the pseudo-invariant in (4 + 2) dimensions takes a new form. Our results advance the study of general nonlinear conformal-invariant electrodynamics based on nonlinear constitutive equations.",
keywords = "Conformal symmetry, Electromagnetism, Nonlinear constitutive equations",
author = "Steven Duplij and Goldin, {Gerald A.} and Vladimir Shtelen",
note = "Publisher Copyright: {\textcopyright} 2014 Springer International Publishing Switzerland.; 32nd Workshop on Geometric Methods in Physics, 2013 ; Conference date: 30-06-2013 Through 06-07-2013",
year = "2014",
doi = "10.1007/978-3-319-06248-8_20",
language = "English (US)",
isbn = "9783319062471",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "233--242",
editor = "Piotr Kielanowski and Ali, {S. Twareque} and Anatol Odzijewicz and Martin Schlichenmaier and Theodore Voronov",
booktitle = "Geometric Methods in Physics - 32nd Workshop, 2013",
}