Six dimensional homogeneous spaces with holomorphically trivial canonical bundle

DOI10.1016/j.geomphys.2023.105014arXiv2305.02654MaRDI QIDQ6141331

Antonio Otal, Luis Ugarte

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.02654

zbMATH Keywords

homogeneous spacesHermitian-Yang-Mills connectionscomplex 3-foldsHull-Strominger system

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

• Unnamed Item
• Half-flat structures on decomposable Lie groups
• Solutions of the Strominger system via stable bundles on Calabi-Yau threefolds
• On the existence of special metrics in complex geometry
• Geometric model for complex non-Kähler manifolds with \(\operatorname{SU}(3)\) structure
• Non-Kaehler heterotic string compactifications with non-zero fluxes and constant dilaton
• Hermitian structures on six-dimensional nilmanifolds
• A local index theorem for non-Kähler manifolds
• Complex parallelisable manifolds and their small deformations
• Curvatures of left invariant metrics on Lie groups
• The geometry of three-forms in six dimensions.
• The universal geometry of heterotic vacua
• Half-flat structures on indecomposable Lie groups
• Half-flat structures on products of three-dimensional Lie groups
• T-dual solutions of the Hull-Strominger system on non-Kähler threefolds
• The Hull-Strominger system and the anomaly flow on a class of solvmanifolds
• Solutions to the Hull-Strominger system with torus symmetry
• Balanced Hermitian geometry on 6-dimensional nilmanifolds
• Invariant solutions to the Strominger system on complex Lie groups and their quotients
• Invariant solutions to the Strominger system and the heterotic equations of motion
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• The existence of supersymmetric string theory with torsion
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle
• Complex structures on nilpotent Lie algebras

This page was built for publication: Six dimensional homogeneous spaces with holomorphically trivial canonical bundle