Line defects as brane boxes in Gaiotto-Maldacena geometries
arXiv:2212.10398 · doi:10.1007/JHEP02(2023)193
Abstract
We construct a new family of solutions to Type IIA supergravity with 4 supercharges acting with non-Abelian T-duality on the recent class constructed in arXiv:2107.12277. We focus on a particular solution in this class asymptoting locally to an Gaiotto-Maldacena geometry. This solution allows for a line defect interpretation within the 4d SCFT dual to this geometry, that we study in detail. We show that the defect branes, consisting on a non-trivial intersection of D2-D4-NS5-F1 branes, can be interpreted as baryon vertices within the 4d SCFT, whose backreaction gives rise to the solution. We construct the explicit quiver quantum mechanics that flows in the IR to the dual SCQM, and show that it can be embedded within the quiver CFT associated to the solution. The quiver quantum mechanics arises from a brane box set-up of D2-branes stretched between perpendicular NS5-branes, that we construct from the solution. We provide non-trivial checks of our proposed duality. Our construction provides one further example of the successful applications of non-Abelian T-duality to holography, in this case in providing a very non-trivial connection between solutions, line defects and brane boxes.
34 pages, 10 figures. v2: references added
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