English

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

High Energy Physics - Theory 2023-07-26 v1

Abstract

We present general results on generating AdS2\text{AdS}_2 solutions to Type II supergravity from AdS3\text{AdS}_3 solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small N=4\mathcal{N}=4 supersymmetry, that we show can be embedded into a more general class of solutions obtained by double analytical continuation from AdS3\text{AdS}_3 geometries with small N=(0,4)\mathcal{N}=(0,4) supersymmetry constructed in the literature. We then start the analysis of the superconformal quantum mechanics dual to the N=4\mathcal{N}=4 backgrounds focusing on a subclass of AdS2×S3×T3\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 N=2\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 N=2\mathcal{N}=2 SCFTs. We check our proposal with the computation of the central charge.

Keywords

Cite

@article{arxiv.2304.11003,
  title  = {New $\text{AdS}_2/\text{CFT}_1$ pairs from $\text{AdS}_3$ and monopole bubbling},
  author = {Andrea Conti and Yolanda Lozano and Niall T. Macpherson},
  journal= {arXiv preprint arXiv:2304.11003},
  year   = {2023}
}

Comments

34 pages, 13 figures + appendices