New AdS2/CFT1 pairs from AdS3 and monopole bubbling

Abstract

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

Keywords

• AdS-CFT Correspondence
• Extended Supersymmetry
• Flux Compactifications
• String Duality