English

Lectures on the Strominger system

Differential Geometry 2018-03-09 v2 High Energy Physics - Theory Mathematical Physics Algebraic Geometry math.MP

Abstract

These notes give an introduction to the Strominger system of partial differential equations, and are based on lectures given in September 2015 at the GEOQUANT School, held at the Institute of Mathematical Sciences (ICMAT) in Madrid. We describe the links with the theory of balanced metrics in hermitian geometry, the Hermite-Yang-Mills equations, and its origins in physics, that we illustrate with many examples. We also cover some recent developments in the moduli problem and the interrelation of the Strominger system with generalized geometry, via the cohomological notion of string class.

Keywords

Cite

@article{arxiv.1609.02615,
  title  = {Lectures on the Strominger system},
  author = {Mario Garcia-Fernandez},
  journal= {arXiv preprint arXiv:1609.02615},
  year   = {2018}
}

Comments

46 pages, several typos corrected, references added

R2 v1 2026-06-22T15:44:29.796Z