  We report symmetry-breaking and restoring bifurcations of solitons in a
fractional Schr\"{o}dinger equation with the cubic or cubic-quintic (CQ)
nonlinearity and a parity-time (PT)-symmetric potential, which may be realized
in optical cavities. Solitons are destabilized at the bifurcation point, and,
in the case of the CQ nonlinearity, the stability is restored by an inverse
bifurcation. Two mutually-conjugate branches of ghost states (GSs), with
complex propagation constants, are created by the bifurcation, solely in the
case of the fractional diffraction. While GSs are not true solutions, direct
simulations confirm that their shapes and results of their stability analysis
provide a blueprint for the evolution of genuine localized modes in the system.
