Abstract
We explicitly construct a family of mathcal{N} = 4 superconformal mechanics of dyonic particles, generalizing the work of Anninos et al. [1] 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 AdS2×S2×CY3. 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.
Highlights
To BPS field theory solitons [2], extremal black holes can be studied in the moduli space approximation [3]
Since there is a well-studied class of hyperkähler with torsion (HKT) sigma models with N = 4 superconformal symmetry [19] one might expect the conformal quiver quantum mechanics theories we described here to fall into that class
In this work we explicitly exhibited the superconformal symmetry of the Coulomb branch quiver mechanics of D-brane systems with an arbitrary number of centers in an AdS2 scaling limit
Summary
To BPS field theory solitons [2], extremal black holes can be studied in the moduli space approximation [3]. Integrating out the stringy modes when the gauge theory is in its Coulomb phase reduces it to the mechanics of N point particles, whose essential features can be identified with those of N dyonic BPS black holes in N = 2 4d supergravity, due to a powerful non-renormalization theorem [9] The physics of these BPS bound states and their stability has developed into a wide area of study but in this paper we will focus only on some aspects of a special class of bound states known as scaling solutions [10, 11], where the dyonic centers can approach each other arbitrarily closely. This is an important step towards quantization which in the HKT formulation can be done in terms of differential forms [17]
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