Given a K3 surface S, the Kuga-Satake construction associates to S an abelian variety KS(S) known as the Kuga-Satake variety. Many similarities between cubic fourfolds X and K3 surfaces S have been studied, particularly via Hodge theory by Hassett and derived categories by Kuznetsov. We study how the Kuga-Satake construction fits into this theory by studying the Kuga-Satake varieties of cubic fourfolds and their associated K3 surfaces, endormorphism algebras of cubic fourfolds, and the derived category D^b(KS(S)).
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