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Geometric flows from unified string theories

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arxiv 2304.02533 v1 pith:57FVBNQJ submitted 2023-04-05 math.DG math.AP

Duong H. Phong This is my paper · ORCID
classification math.DGmath.AP
keywords flowsgeometryflowgeometricstringsurveytheoriesadditional
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A survey of new geometric flows motivated by string theories is provided. Their settings can range from complex geometry to almost-complex geometry to symplectic geometry. From the PDE viewpoint, many of them can be viewed as intermediate flows between the Ricci flow and the K\"ahler-Ricci flow, albeit often coupled to flows of additional fields. In particular, a survey is given of joint works of the author with Tristan Collins, Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.

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Cited by 1 Pith paper

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  1. 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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