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We study various perturbations and their holographic interpretation fornon-Abelian T-dual of $ AdS_5 \times S^5 $ where the T-duality is applied alongthe $ SU(2) $ of $ AdS_5 $. This paper focuses on two types of perturbations,namely the scalar and the vector fields on NATD of $ AdS_5 \times S^5 $. Forscalar perturbations, the corresponding solutions could be categorised into twoclasses. For one of these classes of solutions, we build up the associatedholographic dictionary where the asymptotic radial mode sources scalaroperators for the $ (0+1) $d matrix model. These scalar operators correspond toeither a marginal or an irrelevant deformation of the dual matrix model atstrong coupling. We calculate the two point correlation between these scalaroperators and explore their high as well as low frequency behaviour. We alsodiscuss the completion of these geometries by setting an upper cut-off alongthe holographic axis and discuss the corresponding corrections to the scalarcorrelators in the dual matrix model. Finally, we extend our results for vectorperturbations where we obtain asymptotic solutions for a particular class ofmodes. These are further used to calculate the boundary charge density atfinite chemical potential.

Matrix model correlators from non-Abelian T-dual of $AdS_5 \times S^5 $