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The Strominger system in the square of a K\"ahler class

Differential Geometry 2022-11-08 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We study the Strominger system with fixed balanced class. We show that classes which are the square of a K\"ahler metric admit solutions to the system for vector bundles satisfying the necessary conditions. Solutions are constructed by deforming a Calabi-Yau metric and a Hermitian-Yang-Mills metric along a path inside the given cohomology class.

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Cite

@article{arxiv.2211.03784,
  title  = {The Strominger system in the square of a K\"ahler class},
  author = {Tristan C. Collins and Sebastien Picard and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:2211.03784},
  year   = {2022}
}

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15 pages