  We study novel effects in non-centrosymmetric superconductors arising from
their unique coupling of Cooper-pair condensate and elasticity. We show that
although the much discussed Lifshitz coupling is not observable in a uniform
bulk state, it strikingly endows dislocations with a fractional magnetic flux.
We also predict a generation of voltage-free strain by a DC current in a P and
T-breaking Josephson junction. Viewing superconductors through the lens of
higher-form symmetries we identify the Lifshitz coupling as a chemical
potential for the approximately conserved winding number, drawing an analogy
with pyroelectric insulators.
