Social Security Issues: Collecting Ss Benefits - Can Employer Cut My Pay

I'm in NJ and collecting SS benefits (full retirement age) while still continuing to work full time. Somehow my employer found out and now wants to cut my pay. When I applied for benefits, SS said my employer would not be informed, so I don't know how this could have happened. Can they actually cut my salary?

Any advice would be appreciated. TIA.

Social Security Issues: Collecting Ss Benefits - Can Employer Cut My Pay