There are no transactions - updates to an individual document are atomic but you are on your own if you need all-or-nothing updates again multiple documents.
From https://rethinkdb.com/docs/data-modeling/:
Disadvantages of using embedded arrays: Deleting, adding or updating a post requires loading the entire posts array, modifying it, and writing the entire document back to disk. Because of the previous limitation, it’s best to keep the size of the posts array to no more than a few hundred documents.