New ${\text{AdS}}_2/{\text{CFT}}_1$ pairs from ${\text{AdS}}_3$ and monopole bubbling

Abstract

We present general results on generating ${\text{AdS}}_2$ solutions to Type II supergravity from ${\text{AdS}}_3$ solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small $\mathcal{N}=4$ supersymmetry, that we show can be embedded into a more general class of solutions obtained by double analytical continuation from ${\text{AdS}}_3$ geometries with small $\mathcal{N}=(0,4)$ supersymmetry constructed in the literature. We then start the analysis of the superconformal quantum mechanics dual to the $\mathcal{N}=4$ backgrounds focusing on a subclass of ${\text{AdS}}_2\times {\text{S}}^3\times {\mathbb{T}}^3$ solutions foliated over a Riemann surface. We show that the associated supersymmetric quantum mechanics describes monopole bubbling in 4d $\mathcal{N}=2$ supersymmetric gauge theories living in D3-D7 branes, as previously discussed in the literature. Therefore, we propose that our solutions provide a geometrical description via holography of monopole bubbling in 4d $\mathcal{N}=2$ SCFTs. We check our proposal with the computation of the central charge.

34 pages, 13 figures + appendices

References in corpus (14)

• Holographic Wilson Loops
• On non-abelian T-dual geometries with Ramond fluxes
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Central Charge for AdS_2 Quantum Gravity
• 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
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• AdS${}_3$ from M-branes at conical singularities
• On Monopole Bubbling Contributions to 't Hooft Loops
• AdS${}_2$ near-horizons, defects and string dualities
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• $R^2$ corrected AdS${}_2$ holography