If you didn't have antifreeze in your cooling system, the  drive belt is the least of your problems.  The core plugs will have most probably popped out, and when the water melts, all of the water will drain from your system, and they will have to be replaced. Core plugs are metal discs that pop out to prevent your engine block from cracking when the water freezes. You have learnt an expensive lesson, in trying to save a few quid on antifreeze., it may cost a lot more than a ½ gallon of antifreeze.  Doh!
                 Bri
                
 January 2010