TITLE: Reference request: Deligne's reconstruction theorem
QUESTION [5 upvotes]: I've heard this result referenced a few times on MO now. It is supposed to be a theorem of Deligne that gives some natural conditions under which an (abelian?) tensor category $C$ is the category of representations of a Lie superalgebra, or perhaps an affine supergroup scheme.  However, Deligne's original paper is in French, which I can't read, and I have not been able to find in English even a statement of this theorem. Can anyone help me out?
(Motivation: I want to verify the conditions for categories of bounded chain complexes.)

REPLY [5 votes]: http://arxiv.org/abs/math/0401347