Gravity safe, electroweak natural axionic solution to strong CP and SUSY
  mu problems
  Particle physics models with Peccei-Quinn (PQ) symmetry breaking as a
consequence of supersymmetry (SUSY) breaking are attractive in that they solve
the strong CP problem with a SUSY DFSZ-like axion, link the SUSY breaking and
PQ breaking intermediate mass scales and can resolve the SUSY mu problem with a
naturalness-required weak scale mu term whilst soft SUSY breaking terms inhabit
the multi-TeV regime as required by LHC sparticle mass limits and the Higgs
mass measurement. On the negative ledger, models based on global symmetries
suffer a generic gravity spoliation problem. We present a model based on the
discrete R-symmetry Z_{24}^R-- which may emerge from compactification of 10-d
Lorentzian spacetime in string theory-- where the mu term and dangerous proton
decay and R-parity violating operators are either suppressed or forbidden while
a gravity-safe PQ symmetry emerges as an accidental approximate global symmetry
leading to a solution to the strong CP problem and a weak-scale/natural value
for the mu term.
