A localization method for type B superconformal indices on singular spaces is proposed, with a self-adjointness caveat that can make the index ambiguous.
Superconformal mechanics of AdS$_2$ D-brane boundstates
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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.
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Index and localization for type B superconformal mechanics on singular spaces
A localization method for type B superconformal indices on singular spaces is proposed, with a self-adjointness caveat that can make the index ambiguous.