  We show that actions of the odd categorification of sl(2) induce derived
superequivalences analogous to those introduced by Chuang and Rouquier. Using
Kang, Kashiwara, and Oh's action of the odd 2-category on blocks of the
cyclotomic affine Hecke-Clifford algebra, our equivalences imply that blocks
related by a certain affine Weyl group action are derived equivalent. By recent
results of Kleshchev and Livesey, we show this implies Broue's abelian defect
conjecture for the modular representations of the spin symmetric group.
