Coupled SU(3)-structures and Supersymmetry

TL;DR

This paper reviews coupled SU(3)-structures, exploring their relation to supersymmetry, analyzing special examples, and studying the evolution of these structures under specific flows.

Contribution

It provides a comprehensive review of coupled SU(3)-structures, including classifications, examples, and flow behaviors relevant to supersymmetry.

Findings

Identification of special classes of coupled SU(3)-structures

Analysis of flow behavior of these structures

Insights into their relation with supersymmetry

Abstract

We review coupled ${\rm SU}(3)$-structures, also known in the literature as restricted half-flat structures, in relation to supersymmetry. In particular, we study special classes of examples admitting such structures and the behaviour of flows of ${\rm SU}(3)$-structures with respect to the coupled condition.