Geometric flows and Strominger systems

Duong H. Phong; Sebastien Picard; Xiangwen Zhang

Geometric flows and Strominger systems

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arxiv 1508.03315 v2 pith:K43LPH3Y submitted 2015-08-13 math.DG math.CV

Duong H. Phong , Sebastien Picard , Xiangwen Zhang This is my paper

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keywords geometricstromingersystemsanomalybalancedconditionequationestablished

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abstract

A geometric flow on $(2,2)$-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton's version of the Nash-Moser implicit function theorem.

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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.

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