As the name suggest. These devices are thyristors, but activated with light rather than electrical signals. Being a thyristor, once they are 'fired' they conduct until current drops below a threshold given for particular device or the voltage across anode and cathode is removed. Instead of being activated with electrical signal connected to gate, they are triggered with ligh pulse. Photothyristors can as either thyristor iwth a window in the enclosure for external light source, or integrated photothyristor with light source (similiar to phototransistors and optotriacs)
These comnponents are used mainly as safety devices ("crowbar protection circuit" for example) or in some high voltage control circuits, where thyristor action is required as well as galvanic isolation.