Which name do you put on your resume??

Have you looked at the info and links supplied to you in your other questions about acting and screen names?

We can put our real name/legal name in our resume.

Is a resume a legal document?

No. A resume is not a legal document.

A resume is a advertisement. You can put anything you want on it. Of course, if you are trying to get a job, you should keep in mind what your customers want and expect. This includes understanding that they want what is on your resume to match the basic details they can check.