The invention relates to a rotor for an electric machine, comprising a rotor body (2) that can rotate about an axis of rotation (R), said body having a superconducting rotor winding and a cooling arrangement provided for cooling the rotor winding (3, 4) having at least one pair of cooling tube loops (3, 4) disposed substantially radially opposite each other on the rotor body (2), wherein a cryogenic coolant is transported in the axial direction in the coolant tube loops (3, 4) from a first axial rotor end (201) to a second, opposite axial rotor end (2) and back when the rotor (2) rotates about the axis of rotation (R). The rotor according to the invention is characterized in that one or more connecting tubes (6) are provided in the cooling arrangement and connect one cooling tube loop (3) to the other cooling tube loop (4) of the at least one pair of cooling tube loops (3, 4).