What are the consequences of using fake name\SSN to get rehired?

Ok lets say I got fired from my job at ACME inc. Lets also say my name is “Billy Lively” and my SSN is 040–456-9766.

Ok now I got fired from the ACME store I worked at, but in my area there are many other ACME stores. However because the name “Billy Lively” and my SSN would show up as fired in the database and thus I have no hope of getting rehired at another ACME store.

What if I applied to another ACME store under the name “Bill Livley” and SSN 040–465-9766 so the computer can not recognize me as working there before. Since I went through the process before I know the HR lady does not scrutinize the ID and SS card, only makes a copy of it. Also since I havent been down to HR in months I doubt they will recognize me. What are the consequences if I get caught? Will they just fire me (I dont care im already fired) or can I be charged with identity theft.

I liked the work and pay I recieved at ACME, but I got fired for some dumb shit (my fault) and the store manager didn’t like me too much.