Excuse me, what is the name of this kind of lamp used in the studio? Is it always on or flashing? What is his specific role?

That is, photographic lights, the main brands are Bao Futu, Ai Linglong and so on. Jinbei, Shenniu and Naisi are widely used in China because they are relatively cheap. It can be equipped with many lights, such as the four-leaf baffle in your picture, which plays the role of directional light gathering. Used for lighting or sidelight when shooting people. Below it is a lamp holder, and the one in the picture is called "C-shaped lamp holder". Photographic lights are almost the same, basically flashing, with high instantaneous output power, but it has a light bulb that can be lit all the time, called "modeling light", which can be used to assist focusing or lighting. When shooting, flash is the main thing, and the flash is triggered synchronously by the flasher installed on the top of the camera. I am a photographer. I hope it works for you.