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The Strominger System and Flows by the Ricci Tensor

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arxiv 2402.17770 v4 pith:NJYM5NCW submitted 2024-02-27 math.DG hep-th

Sébastien Picard This is my paper · ORCID
classification math.DGhep-th
keywords flowstromingersystembalanceddiscussgeometryricciaeppli
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This is a survey on the Strominger system and a geometric flow known as the anomaly flow. We will discuss various aspects of non-K\"ahler geometry on Calabi-Yau threefolds. Along the way, we discuss balanced metrics and balanced classes, the Aeppli cohomology class associated to a solution to the Strominger system, the equations of motion of heterotic supergravity, and a version of Ricci flow in this special geometry.

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Cited by 4 Pith papers

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

  1. Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes

    math.DG 2025-07 unverdicted novelty 7.0 of 10

    Irreducible differential spinors on Lorentzian four-manifolds are reformulated via parabolic pairs and isotropic parallelisms, yielding characterizations of torsion parallel spinors, supersymmetric NS-NS solutions, an...

  2. 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.

  3. The canonical symmetry reduction of string backgrounds

    math.DG 2025-11 conditional novelty 6.0 of 10

    A compact string background with nonvanishing canonical symmetry reduces to a transverse string generalized Ricci soliton that is conformally co-closed, with explicit torsion in SU(3), G2, and Spin(7).

  4. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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