Hosted by: Robert Konik

We obtain a controlled description of a strongly correlated regime of electronic behaviour. We argue that there are two ways to characterise the electronic degree of freedom, either by the canonical fermion algebra or by the graded Lie algebra su(2|2). The first underlies the Fermi liquid description of correlated matter, and we identify a novel regime governed by the latter. We obtain the electronic spectral function within a controlled approximation, and find a splitting in two of the electronic band. The Luttinger sum rule is violated and a Mott metal-insulator transition is exhibited.