Photon sector analysis of Super and Lorentz symmetry breaking: effective
  photon mass, bi-refringence and dissipation
  Within the Standard Model Extension (SME), we expand our previous findings on
four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry
(LoSy), differing in the handedness of the Charge conjugation-Parity-Time
reversal (CPT) symmetry and in whether considering the impact of photinos on
photon propagation. The violations, occurring at the early universe high
energies, show visible traces at present in the Dispersion Relations (DRs). For
the CPT-odd classes ($V_{\mu}$ breaking vector) associated with the
Carroll-Field-Jackiw (CFJ) model, the DRs and the Lagrangian show for the
photon an effective mass, gauge invariant, proportional to $|{\vec V}|$. The
group velocity exhibits a classic dependency on the inverse of the frequency
squared. For the CPT-even classes ($k_{F}$ breaking tensor), when the photino
is considered, the DRs display also a massive behaviour inversely proportional
to a coefficient in the Lagrangian and to a term linearly dependent on $k_{F}$.
All DRs display an angular dependence and lack LoSy invariance. In describing
our results, we also point out the following properties: i) the appearance of
complex or simply imaginary frequencies and super-luminal speeds and ii) the
emergence of bi-refringence. Finally, we point out the circumstances for which
SuSy and LoSy breakings, possibly in presence of an external field, lead to the
non-conservation of the photon energy-momentum tensor. We do so for both CPT
sectors.
