The ornamental design for a connector for a lightingsystem, as shown and described.
FIG. 1 is a perspective view of a connector for a light system showing my new design;
FIG. 2 is a first side elevational view thereof;
FIG. 3 is a second side elevational view thereof;
FIG. 4 is a third side elevational view thereof;
FIG. 5 is a fourth side elevational view thereof;
FIG. 6 is a top plan view thereof; and,
FIG. 7 is a bottom plan view thereof.
The broken lines shown in the drawings are included for the purpose of illustrating elements of the connector for a lighting system and form no part of the claimed design.