Formal / written register, used in playbills, opening credits, press releases, and program notes - 'this play/show' as referenced in its own promotional or descriptive material. Synonym in casual speech: 这部剧.
grammar
本 (běn) as a determiner means 'this / the present (one in question)' - same usage in 本人 ('myself / this person'), 本月 ('this month'), 本公司 ('our company / this company'), 本书 ('this book'). Slightly formal.
