You may very well be entitled to terminate your lease early without penalty: all landlords are subject to the "implied warranty of habitability," or the obligation, imposed on them by law, that their rental units be "fit for their intended purpose." In this case, that means fit for use as a residence, which a lack of heat could obviously violate. Furthermore, you may be entitled to monetary compensation--a retroactive partial (though possibly substantial) rent rebate or credit for the period of time you have been living without heat. You should speak with a landlord-tenant attorney to discuss your options and recourse.
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