Generalized reduction and pure spinors

TL;DR

This paper explores the reduction of Dirac structures and generalized Calabi-Yau structures using pure spinors, providing explicit descriptions of the reduced structures and their pure spinor line bundles.

Contribution

It offers a new perspective on Dirac structure reduction via pure spinors and explicitly characterizes the pure spinor line bundle of the reduced structure.

Findings

Explicit description of the pure spinor line bundle of the reduced Dirac structure

Results on reduction of generalized Calabi-Yau structures

Enhanced understanding of structure reduction in generalized geometry

Abstract

We study reduction of Dirac structures from the point of view of pure spinors. We describe explicitly the pure spinor line bundle of the reduced Dirac structure. We also obtain results on reduction of generalized Calabi-Yau structures.