Overlaps and fermionic dualities for integrable super spin chains

A bstract The $$ \mathfrak{psu}\left(2,\left.2\right|4\right) psu 2 4 integrable super spin chain underlying the AdS/CFT correspondence has boundary states which describe set-ups where k D3-branes get dissolved in a probe D5-brane. Overlaps between Bethe eigenstates and these encode one-point functions of conformal operators are expressed terms superdeterminant Gaudin matrix that turn depends on Dynkin diagram symmetry algebra. different possible diagrams Lie algebras related via fermionic dualities we determine how overlap formulae transform under dualities. As an application show to consistently move obtained for = 1 from diagrams.