Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities

Understand

We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS${}_5$ 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 AdS${}_5\times X_5$ IIB supergravity solutions with $X_5=S^5, T^{1,1}, Y^{p,q}$.
• 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.