termination

You may not be able to. Unless you had an employment contract specifying how/why you could be fired, your employer may terminate you at any time, for any reason. (This called "employment at will" and NY is an employment at will state.) You can of course ask for your job back, and explain it was your boyfriend's actions, not yours; but the company is under no obligation to take you back.

Most employment relationships are what is known as "at will".  This means that you can work for an employer, or not, your choice.  In turn, the employer can hire or fire someone for any reason or no reason whatsoever.

The only exceptions to this are: 1) If there is an employment agreement or contract (which governs termination); 2) If there is a union or collective bargaining agreement (which governs termination); 3) If there is an employee handbook or other official policy statement (which governs termination); 4) If discrimination is a factor (there can be no termination for reasons of race, religion, age, disability, sex, national origin).