Converting a PDF slide show to a video file
Convert the presentation to a series of image files. The classic image format for that is a TARGA sequence. But you can use any format that your LaTeX tool chain can output and a video generator can import. For generating the image sequence, there are several vector and raster formats that LaTeX can export. You can then use ffmpeg to turn the image sequence into video.

As a reminder, be sure to set the aspect ratio of your presentation appropriately.