Tilting equivalence for superconformal algebras

Representation Theory of the Virasoro Algebra

“…In [IK6], the authors have shown the tilting equivalence for a certain class of Z-graded Lie superalgebra which contains so-called physical conformal superalgebras, classified by V. G. Kac [Kac6] and G. Yamamoto [Y]. It was also shown in [IK6] that the critical cocycle is related to the condition that the square of the BRST charge vanishes.…”

Note on spin modules associated to Z-graded Lie superalgebras

“…specializes to those considered, e.g., in [6] and the explicit description of the 2-cocycle µ δ specializes to that given in [3].…”