This is a difficult situation.
The law provides that a business owner may terminate an employee for any reason or not reason whatsoever (this is called the At-Will employment rule).
Because it is the business owner who is requesting your termination
, even if for a false reason, this is not going to be a situation where the termination was wrongful.
As that is the case, even though it is slanderous, the termination was technically legal because of the at-will rule. The law is very lopsided on the side of the employer in this case.
I'm sorry I couldn't give you better news, but it is better to know whether or not you have a case, and to not waste time pursuing a claim you won't win.
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