Superconformal mechanics of AdS${}_2$ D-brane boundstates

Abstract

We explicitly construct a family of $\mathcal{N}=4$ superconformal mechanics of dyonic particles, generalizing the work of Anninos et al.\,\cite{Anninos:2013nra} to an arbitrary number of particles. These mechanics are obtained from a scaling limit of the effective Coulomb branch description of $\mathcal{N}=4$ quiver quantum mechanics describing D-branes in type II Calabi-Yau compactifications. In the supergravity description of these D-branes this limit changes the asymptotics to AdS${}_2\times$S${}^2\times$CY${}_3$. We exhibit the $D(1,2;0)$ superconformal symmetry and conserved charges of the mechanics in detail. In addition we present an alternative formulation as a sigma model on a hyperkähler manifold with torsion.

arXiv comment27 pages + appendices. V2: typos corrected, references added, hyperlinks fixed

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• Multi-centered black holes, scaling solutions and pure-Higgs indices from localization
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Supersymmetric black holes and $T\bar{T}$ deformation
• The geometry of gauged (super)conformal mechanics
• Index and localization for type B superconformal mechanics on singular spaces