Most employment in New York is considered "at-will" which means that an employer has the right to fire any one at any time for any reason or no reason at all. So, in your circumstances the employer does not legally have to tell you what you allegedly stole.
I would recommend however that you go to your employer and say that you did not steal anything, and perhaps you can work something out where you can return to your job on some type of probationary status.
The only employment which is not considered "at-will" is when there is a contract of employment. In such circumstances, the contract would determine when the employee can be fired.
Try to work things out with your employer. If you are both reasonable, perhaps they will let you return to work.
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