Without more details from you, it would appear that the answer to your question regarding your employer is that there is no obligation for them to pay you if there is no work. I would encourage you, however, to speak with the company's human resources representative to see if there is a written policy regarding this issue. You might also consider consulting with a legal professional who specializes in employment issues. I know that it has something to do with being forced to resign from a position, but I don't really understand. I think that I may have a case of that in my own job situation.
Constructive discharge is actually a legal principle.
It is a claim made against an employer by a former employee that the worker was forced to resign. In the eyes of the law, being forced to quit a job under these conditions is similar to an involuntary termination. If you feel that you are actually working under these conditions and are being forced out, your best step would be to meet with an employment attorney and understand your position. The burden of proof is yours, and you will have to convince a judge or jury that the company deliberately and with underlying motives made things so bad that you had to quit.