Superconformal mechanics of AdS$_2$ D-brane boundstates

TL;DR

This paper constructs a family of ${ m N}=4$ superconformal mechanics models for dyonic particles, derived from D-brane effective theories, exhibiting $D(1,2;0)$ symmetry and formulated as hyperk"ahler sigma models with torsion.

Contribution

It generalizes previous superconformal mechanics models to multiple particles and provides explicit constructions and symmetries for these models.

Findings

Explicit ${ m N}=4$ superconformal mechanics models for multiple particles.

Identification of $D(1,2;0)$ superconformal symmetry and conserved charges.

Alternative sigma model formulation on hyperk"ahler manifolds with torsion.

Abstract

We explicitly construct a family of ${\cal N}=4$ 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 hyperk\"ahler manifold with torsion.