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Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality

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arxiv 1610.09004 v1 pith:JCFLJRE5 submitted 2016-10-27 math.DG hep-th

classification math.DGhep-th
keywords algebroidscourantgeneralizedrenormalizationriccit-dualitycompatibledefined
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We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.

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  1. Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow

    hep-th 2025-02 conditional novelty 6.0 of 10

    Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.

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