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The Anomaly flow over Riemann surfaces

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arxiv 1711.08186 v1 pith:4WWLY4EF submitted 2017-11-22 math.DG hep-thmath.APmath.CV

Teng Fei , Zhijie Huang , Sebastien Picard This is my paper
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We initiate the study of a new nonlinear parabolic equation on a Riemann surface. The evolution equation arises as a reduction of the Anomaly flow on a fibration. We obtain a criterion for long-time existence for this flow, and give a range of initial data where a singularity forms in finite time, as well as a range of initial data where the solution exists for all time. A geometric interpretation of these results is given in terms of the Anomaly flow on a Calabi-Yau threefold.

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  1. 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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