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Oct 24, 2014 at 15:41 comment added Reimundo Heluani There's arXiv:math/0602072 of Bakalov and Kac where they study some generalized vertex algebras where you allow the grading by complex numbers. Most generalizations along these lines end up studying the Heisenberg vertex algebra plus a bunch of its modules and then forming the intertwining algebra, as a generalization of the lattice vertex algebra (when you only consider integral heighest weights).
Jul 8, 2014 at 23:55 history asked Lev Borisov CC BY-SA 3.0