Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
Abstract
We construct the space of infinitesimal variations for the Strominger system and an obstruction space to integrability, using elliptic operator theory. We initiate the study of the geometry of the moduli space, describing the infinitesimal structure of a natural foliation on this space. The associated leaves are related to generalized geometry and correspond to moduli spaces of solutions of suitable Killing spinor equations on a Courant algebroid. As an application, we propose a unifying framework for metrics with holonomy and solutions of the Strominger system.
Keywords
Cite
@article{arxiv.1503.07562,
title = {Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry},
author = {Mario Garcia-Fernandez and Roberto Rubio and Carl Tipler},
journal= {arXiv preprint arXiv:1503.07562},
year = {2019}
}
Comments
48 pages. Section 5 and Appendix A from previous version have been suppressed and will appear elsewhere. Title slightly changed, references added, presentation improved. To appear in Math. Annal