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We obtain a controlled description of a strongly correlated regime ofelectronic behaviour. We begin by arguing that there are two ways tocharacterise the electronic degree of freedom, either by the canonical fermionalgebra or the graded Lie algebra su(2|2). The first underlies the Fermi liquiddescription of correlated matter, and we identify a novel regime governed bythe latter. We exploit an exceptional central extension of su(2|2) to employ aperturbative scheme recently developed by Shastry, and obtain a series ofsuccessive approximations for the electronic Green's function. We then focus onthe leading approximation, which reveals a splitting in two of the electronicdispersion. The Luttinger sum rule is violated, and a Mott metal-insulatortransition is exhibited. We offer a perspective.

The splitting of electrons and violation of the Luttinger sum rule