Swap is something you and your wife can do when you meet another couple that you find attra. . . oh, wait, not that kind of swap.
When you open a trade, you sell one currency and buy another. Since the currencies charge different interest rates, you can either collect interest (positive swap) or pay interest (negative swap).
If you borrow a low-rate currency to buy a high rate currency, you should earn interest. If you do the opposite, you pay. If you buy and sell the same pair, you will notice that the amount you get paid is significantly less than the amount you have to pay (more beer money for the broker). Some particularly annoying brokers just figure the negative swap and charge that to you whether you go long or short on the pair.