Optical sizes are types of font styles that have been adapted for different text sizes and are available separately. It is not uniform which subdivisions there are. There is a variant for reading texts (known as text, regular, text set, for example) and an editor that is optimized for very small text sizes (known as a caption, for example).
Display fonts are not automatically screen fonts. “Display” is a term for fonts for large sizes (English “to display”, to display). They usually have finer details, a higher line contrast and are narrower.