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.

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

References in corpus (1)

• Entropy Function and AdS(2)/CFT(1) Correspondence

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