If a person is caught shoplifting, does the store have the right to call a person's job and talk to their boss?

Here is the issue; typically arrests are not considered bad acts in evidentiary standards. A conviction is a bad act. You have been arrested for shoplifting and theoretically arrests are still considered public documents.  It doesn't sound as if you were arrested but rather given a ticket, so I am not sure that even rises to the level of a public document yet.  So, the issue here is whether in your state and under these particular circumstances based on federal, state and case laws would this be an invasion of privacy for the store to have contacted your place of employment. The issue that remains unclear is how the store knew of your place of employment and then who informed your boss. If you stole from a national retail chain in a mall, for example, and by regular employee pattern and practice, the store knew you worked for another store in the mall, was there some sort of contractual requirement for stores to contact the employers in other stores in the mall regarding such matters? I am not sure what really happened so you may wish to at least consult with a civil attorney regarding the possible invasion of privacy and defamation and the impact it will have on you, in addition to whatever happens to you at the criminal court level.