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

Abstract

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. 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.

71 pages, one table. v2: References added, some normalizations corrected, results unchanged

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Cited by in corpus (20)

• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Supersymmetry of AdS and flat IIB backgrounds
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• Non-abelian T-folds
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• The Sommerfeld Enhancement in the Scotogenic Model with Large Electroweak Scalar Multiplets
• A Type IIB Matrix Model via non-Abelian T-dualities
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes
• Mesons from (non) Abelian T-dual backgrounds
• On supersymmetric Anti-de-Sitter, de-Sitter and Minkowski flux backgrounds
• k-Strings as Fundamental Strings
• Penrose limits in massive type-IIA AdS${}_3$ background