Phase diagram and vortex properties of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math> -symmetric non-Hermitian two-component superfluid

We discuss the phase diagram and properties of global vortices in non-Hermitian parity-time-symmetric relativistic model possessing two interacting scalar complex fields. The contains stable PT-symmetric regions unstable PT-broken regions, which intertwine nontrivially with U(1)-symmetric U(1)-broken phases, thus forming rich patterns space parameters model. notion PT-symmetry breaking is generalized to theory. At finite quartic couplings, possesses classical vortex solutions characterized by broken U(1) symmetry. In long-range limit two-component Bose-Einstein condensates, from different condensates experience mutual dissipative dynamics unless their cores overlap precisely. For comparison, we also consider a close Hermitian analog system demonstrate that much richer than its counterpart.