Type IIB Supergravity Solutions with AdS₅ From Abelian and Non-Abelian T Dualities

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We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS₅ factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS₅× X₅ IIB supergravity solutions with X₅=S⁵, T¹,¹, Yᵖ,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.