In this paper we construct a new Type IIB background with an AdS 4 factor that preserves N = 4 Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the AdS 4 × S 7 background. We interpret our configuration as a patch of a more general background with localised sources, dual to the renormalisation fixed point of a Tρ ρ (SU(N )) quiver field theory. This relates explicitly the AdS 4 geometry to a D3-D5-NS5 brane intersection, illuminating what seems to be a more general phenomenon, relating AdS p+1 backgrounds generated by non-Abelian T-duality to Dp-D(p + 2)-NS5 branes intersections.

We show that the first AdS 6 backgrounds in Type IIB supergravity known in the literature, namely those constructed via T-duality from the Brandhuber-Oz solution to massive IIA, fit within an extension of the global AdS 6 × S 2 solutions with 7-branes warped over a Riemann surface Σ, recently classified by D'Hoker, Gutperle and Uhlemann [1,2], that describes delocalised 5-branes and 7-branes. The solution constructed through Abelian T-duality provides an explicit example of a Riemann surface with the topology of an annulus, that includes D7/O7-branes. In turn, the solution generated through non-Abelian T-duality arises from the upper half-plane.

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We report on a classification of supersymmetric solutions to 11D supergravity with SO(2, 2) × SO(3) isometry, which are AdS/CFT dual to 2D CFTs with N = (0, 4) supersymmetry. We recover the Maldacena, Strominger, Witten (MSW) near-horizon with small superconformal symmetry and identify a class of AdS3 × S 2 × S 2 × CY2 geometries with emergent large superconformal symmetry. This exhausts known compact geometries. Compactification of M-theory on CY2 results in a vacuum of 7D supergravity with large superconformal symmetry, providing a candidate near-horizon for an extremal black hole and a potential new setting to address microstates.

In this paper we study an AdS 5 solution constructed using non-Abelian Tduality, acting on the Klebanov-Witten background. We show that this is dual to a linear quiver with two tails of gauge groups of increasing rank. The field theory dynamics arises from a D4-NS5-NS5' brane set-up, generalizing the constructions discussed by Bah and Bobev. These realize N = 1 quiver gauge theories built out of N = 1 and N = 2 vector multiplets flowing to interacting fixed points in the infrared. We compute the central charge using a-maximization, and show its precise agreement with the holographic calculation. Our result exhibits n 3 scaling with the number of five-branes. This suggests an eleven-dimensional interpretation in terms of M5-branes, a generic feature of various AdS backgrounds obtained via non-Abelian T-duality.