Partial breaking of N=1, D=10 supersymmetry

TL;DR

This paper explores the partial breaking of ten-dimensional N=1 supersymmetry to six-dimensional N=(1,0), using nonlinear realizations, and relates it to super 5-brane equations of motion and potential brane extensions.

Contribution

It introduces a nonlinear realization framework for partial supersymmetry breaking and connects it to super 5-brane dynamics and hypermultiplet constraints.

Findings

Goldstone superfield identified as a nonlinear hypermultiplet

Generalized hypermultiplet constraint relates to super 5-brane equations

Discussion on brane extensions and supersymmetry breaking patterns

Abstract

We describe the spontaneous partial breaking of $N=1 D=10$ supersymmetry to $N=(1,0) d=6$ and its dimensionally-reduced versions in the framework of the nonlinear realizations method. The basic Goldstone superfield is $N=(1,0) d=6$ hypermultiplet superfield satisfying a nonlinear generalization of the standard hypermultiplet constraint. We interpret the generalized constraint as the manifestly worldvolume supersymmetric form of equations of motion of the Type I super 5-brane in D=10. The related issues we address are a possible existence of brane extension of off-shell hypermultiplet actions, the possibility to utilize vector $N=(1,0) d=6$ supermultiplet as the Goldstone one, and the description of 1/4 breaking of $N=1 D=11$ supersymmetry.