I was skimming this paper, and I came across a typo. The author had said "V-actegory" where obviously he meant "V-category". Then I noticed that he made the same typo several other places on the same page. Then I noticed the category of V-actegories was called V-Act. At this point I conclusively gave up and accepted against all reason and my better judgment that "V-actegory" was what he meant to say all along. Crazy category theorists and their portmanteauery! I guess it has something to do with, like, group actions.