${\text{AdS}}_3$ vacua and surface defects in massive IIA

Abstract

We summarize the results and the ideas in 1707.06152, 1707.06154, 1807.07768 where new warped ${\mathrm{AdS}}_3$ backgrounds are derived in massive IIA string theory by uplifting exact solutions in $\mathcal{N}=1$, $d=7$ and $\mathcal{N}=(1,1)$, $d=6$ gauged supergravities. These solutions are respectively asymptotically ${\mathrm{AdS}}_7$ and ${\mathrm{AdS}}_6$ and they are related to the D2-D4-NS5-D6-D8 brane intersection. We provide a particular supergravity solution in 10d describing this bound state and we discuss the relations between its near-horizon geometry and the uplifts from 6d and 7d. Then we give the holographic interpretation of these ${\mathrm{AdS}}_3$ warped backgrounds in terms of $\mathcal{N}=(0,4)$ defect ${\mathrm{SCFT}}_2$ within the $\mathcal{N}=(1,0)$ ${\mathrm{SCFT}}_6$ and the $\mathcal{N}=2$ ${\mathrm{SCFT}}_5$.

Contribution to the CORFU2018 proceedings. 10 pages

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