Brane solitons of (1,0) superconformal theories in six dimensions with hypermultiplets

TL;DR

This paper analyzes solutions in 6D (1,0) superconformal theories with hypermultiplets, revealing various supersymmetry-preserving solitons including self-dual strings and 3-branes, consistent with M-brane intersections.

Contribution

It provides explicit solutions to Killing spinor equations in 6D (1,0) theories with hypermultiplets, identifying new solitons and their supersymmetry properties.

Findings

Solutions preserve 1 to 8 supersymmetries.

Existence of smooth self-dual string solitons supported by instantons.

Identification of 3-brane solitons consistent with M-brane rules.

Abstract

We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories which include hyper-multiplets in all cases. We show that the solutions preserve 1,2,3,4 and 8 supersymmetries. We find models with self-dual string solitons which are smooth and supported by instantons with an arbitrary gauge group, and 3-brane solitons as expected from the M-brane intersection rules.