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LLP is the platform's liquidity provider token
LLP consists of an index of assets used for swaps and leverage trading. It can be minted using any index asset and burnt to redeem any index asset. The price for minting and redemption is calculated based on (total worth of assets in index including profits and losses of open positions) / (LLP supply).
Note that LLP is specific to the network you mint it on, it is not directly transferrable between networks and the price / rewards to the tokens will differ between networks.
As LLP holders provide liquidity for leverage trading, they will make a profit when leverage traders make a loss and vice versa.