The Dynamics of D-3-brane Dyons and Toric Hyper-K\"ahler manifolds
G. Papadopoulos, J. Gutowski
TL;DR
This paper explores dyonic solitons on D-3-branes, their moduli space as toric hyper-K"ahler manifolds, and duality relations to M-theory configurations, revealing supersymmetry preservation and effective actions.
Contribution
It introduces new dyonic worldvolume solitons on D-3-branes, analyzes their moduli space geometry, and connects these solutions to M-theory configurations through dualities.
Findings
Dyons preserve 1/4 supersymmetry.
Moduli space is a toric hyper-K"ahler manifold.
Solitons related by duality to M-theory membranes.
Abstract
We find the dyonic worldvolume solitons due to parallel (p,q) strings ending on a D-3-brane. These solutions preserve 1/4 of bulk supersymmetry. Then we investigate the scattering of well-separated dyons and find that their moduli space is a toric hyper-K\"ahler manifold. In addition, we present the worldvolume solitons of the D-3-brane which are related by duality to the M-theory configuration of two orthogonal membranes ending on a M-5-brane. We show that these solitons preserve 1/8 of supersymmetry and compute their effective action.
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