Work

Almost Calabi-Yau with torsion 6-manifolds and the instanton condition

Year: 2026

Type: article

Abstract: It is observed that on a compact almost complex Calabi-Yau with torsion (ACYT) 6-manifold with co-closed Lee form the curvature of the torsion connection is an SU (3)-instanton if and only if the torsion is parallel with respect to the torsion connection. The same conclusion holds for any (non necessarily compact) balanced ACYT 6-manifold. In particular, on a CYT 6-manifold the Strominger-Bismut connection is an SU (3)-instanton if and only if the torsion is parallel with respect to the Strominger-Bismut connection provided either the CYT 6-manifold is compact with co-closed Lee form or it is a balanced CYT 6-manifold.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-026-02370-8

Authors: Stefan Ivanov, Luis Ugarte

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia University "St. Kliment Ohridski", Universidad de Zaragoza

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Ministerio de Ciencia, Innovación y Universidades, Bulgarian National Science Fund, Gobierno de Aragón, Agencia Estatal de Investigación