Field theory aspects of non-Abelian T-duality and N $$ mathcal{N} $$ =2 linear quivers

In this paper we propose a linear quiver with gauge groups of increasing rank as field theory dual to the ads 5 background constructed by sfetsos and thompson through non-abelian t-duality. the formalism to study 4d $$ mathcal{n} $$ = 2 susy cfts developed by gaiotto and maldacena is essential for our proposal. we point out an interesting relation between (hopf) abelian and non-abelian t-dual backgrounds that allows to see both backgrounds as different limits of a solution constructed by maldacena and núñez. this suggests different completions of the long quiver describing the cft dual to the nonabelian t-dual background that match different observables.