Yes. They are regulated according to articles 2699 and 2700 of the Civil Code.
If so, what are they? Are these only notarial acts or also acts of other authorities?
These are in general all notarial documents: wills, inventories, gifts, matrimonial property agreements, real estate transactions, incorporation and modification of companies, loans and mortgages etc.
Other public office holders have the power to draw up authentic instruments, in limited fields or sectors: officers of public bodies (municipalities, ministries etc.), clerks of the court (these also for inventories and the waiver of inheritance), bailiffs (acts of protest or notification).