We consider new issues of duality in four-dimensional Lorentz-breaking field theories. In particular, we demonstrate that the arising of the aether-like Lorentz-breaking term is necessary in order for the 4D models to display the duality analog between the MCS and self-dual models in 3D. We further study the dispersion relations in both theories and discuss the physical contents of the models involved in this new dualilty.
@article{arxiv.1010.3666,
title = {On the duality in four-dimensional Lorentz-breaking field theories},
author = {M. S. Guimaraes and J. R. Nascimento and A. Yu. Petrov and C. Wotzasek},
journal= {arXiv preprint arXiv:1010.3666},
year = {2011}
}