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Heterotic systems, balanced SU(3)-structures and coclosed G2-structures in cohomogeneity one manifolds

Izar Alonso Lorenzo

When considering compactifications of heterotic string theory down to 4D, the Hull--Strominger system arises over a six-dimensional manifold endowed with an invariant nowhere-vanishing holomorphic (3,0)-form. When compactifying down to 3D, we get the heterotic G2 system over a manifold with a G2-structure. In this talk, we describe these systems and then study the existence of some of the geometric structures required by them in the cohomogeneity one setting.


Simons- Special Holonomy in Geometry, Analysis, and Physics: Progress and Open Problems