Lectures on the Strominger system

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.

46 pages, several typos corrected, references added

References in corpus (5)

• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• A Construction of Non-Kähler Calabi-Yau Manifolds and New Solutions to the Strominger System
• On small deformations of balanced manifolds
• Geometric flows and Strominger systems
• Moduli of $G_2$ structures and the Strominger system in dimension 7

Cited by in corpus (11)

• Invariant solutions to the Strominger system and the heterotic equations of motion
• Gauge theory for string algebroids
• Geometric Partial Differential Equations from Unified String Theories
• Geometric Flows for the Type IIA String
• New curvature flows in complex geometry
• Parabolic Dimensional Reductions of 11D Supergravity
• Four-dimensional geometric supergravity and electromagnetic duality: a brief guide for mathematicians
• Spinors of real type as polyforms and the generalized Killing equation
• Restrictions of Heterotic $G_2$ Structures and Instanton Connections
• Heterotic solitons on four-manifolds
• A Hall of Statistical Mirrors