Hydrostatic annular seal

An assembly for an aircraft turbine engine having a longitudinal axis, the assembly comprising a distributor which has a stator vane ring comprising a foot at a radially inner end of the distributor, the foot carrying a seal, the seal being annular and configured to cooperate in a non-contact sealing manner with a cylindrical rotor shroud of the turbine engine, the turbine engine being arranged radially under the distributor, the seal comprising;

• a plurality of seal segments distributed circumferentially about the longitudinal axis, each seal segment comprising a radially outer annular wall segment and a radially inner annular wall segment which are connected to each other by an elastically deformable member,
• wherein each radially outer annular wall segment is fixed to a seal support, the seal support being annular and being secured to the foot of the distributor, each radially outer annular wall segment carrying a coupling member circumferentially engaged and radially retained in a circumferential groove of the seal support.