A connective (a cover term) is a °subordinator or a °coordinator.
In earlier times, the term "conjunction" was used as a cover term for "subordinating conjunctions" and "coordinating conjunctions", and this usage still survives in the pedagogical literature. However, it is not clear that subordinators and coordinators are really a natural class, so it is better to use the new terms "subordinator" and "coordinator", and to define the cover term "connective" in terms of these two terms, rather than the other way round.
conjunction (STR) = a free morpheme or clitic that encodes the relation between the events denoted by the two clauses in a complex sentence construction. A conjunction in a coordinate clause construction is a coordinator; in an adverbial clause construction, it is an adverbializer; in a complement clause construction, it is a complementizer; and in a relative clause construction, it is a relativizer. (Section 15.2.2)