6D Dyonic String With Active Hyperscalars

TL;DR

This paper derives conditions for supersymmetric solutions in 6D supergravity, presenting a novel 1/8 BPS dyonic string with hypermultiplet scalars, fixed magnetic charge, and a near-horizon AdS3 x S3 geometry.

Contribution

It introduces a new 1/8 supersymmetric dyonic string solution with active hypermultiplet scalars and analyzes its geometric and charge properties.

Findings

Existence of a novel 1/8 BPS dyonic string solution.

The magnetic charge is fixed at the Planck scale.

Near-horizon geometry is AdS3 x S3 with radii proportional to electric charge.

Abstract

We derive the necessary and sufficient conditions for the existence of a Killing spinor in N=(1,0) gauge supergravity in six dimensions coupled to a single tensor multiplet, vector multiplets and hypermultiplets. These are shown to imply most of the field equations and the remaining ones are determined. In this framework, we find a novel 1/8 supersymmetric dyonic string solution with nonvanishing hypermultiplet scalars. The activated scalars parametrize a 4 dimensional submanifold of a quaternionic hyperbolic ball. We employ an identity map between this submanifold and the internal space transverse to the string worldsheet. The internal space forms a 4 dimensional analog of the Gell-Mann-Zwiebach tear-drop which is noncompact with finite volume. While the electric charge carried by the dyonic string is arbitrary, the magnetic charge is fixed in Planckian units, and hence necessarily non-vanishing. The source term needed to balance a delta function type singularity at the origin is determined. The solution is also shown to have 1/4 supersymmetric AdS_3 x S^3 near horizon limit where the radii are proportional to the electric charge.