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.

arXiv comment34 pages, 13 figures + appendices

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