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The Strominger system in the square of a K\"ahler class

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arxiv 2211.03784 v1 pith:U2MM3OE3 submitted 2022-11-07 math.DG hep-thmath-phmath.MP

Tristan C. Collins , Sebastien Picard , Shing-Tung Yau This is my paper
classification math.DGhep-thmath-phmath.MP
keywords classmetricsystemahlersolutionssquarestromingeradmit
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We study the Strominger system with fixed balanced class. We show that classes which are the square of a K\"ahler metric admit solutions to the system for vector bundles satisfying the necessary conditions. Solutions are constructed by deforming a Calabi-Yau metric and a Hermitian-Yang-Mills metric along a path inside the given cohomology class.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Aeppli Parameter for the Heterotic Moduli

    math.DG 2026-07 conditional novelty 6.0 of 10

    Near a Kähler point, solutions of the 3-fold Hull–Strominger system are locally parameterized by the Aeppli cohomology class, with no auxiliary gauge connection, matching the Bott–Chern dimension.

  2. Stringy Corrections to Heterotic SU(3)-Geometry

    hep-th 2025-07 accept novelty 6.0 of 10

    At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.

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

    math.DG 2025-07 accept novelty 6.0 of 10

    On compact or balanced almost Calabi-Yau 6-manifolds with torsion, the torsion connection is an SU(3) instanton if and only if the torsion is parallel, and the Hull connection is an instanton if and only if the torsio...

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