AdS 6 T-duals and type IIB AdS 6 × S 2 geometries with 7-branes

Abstract 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