  It is shown that slow Bragg soliton solutions are possible in nonlinear
complex parity-time (PT) symmetric periodic structures. Analysis indicates that
the PT-symmetric component of the periodic optical refractive index can modify
the grating band structure and hence the effective coupling between the forward
and backward waves. Starting from a classical modified massive Thirring model,
solitary wave solutions are obtained in closed form. The basic properties of
these slow solitary waves and their dependence on their respective PT-symmetric
gain/loss profile are then explored via numerical simulations.
