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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

Pavol Ševera , Fridrich Valach This is my paper · ORCID
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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Cited by 3 Pith papers

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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.

  2. Navigating string theory field space with geometric flows

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors define a flow-based distance for flux-supported internal spaces, modify the Ricci Flow Conjecture so towers of states appear only at fixed points at infinite distance, and construct flows for type II and 1...

  3. Higher fermions in supergravity

    hep-th 2024-12 conditional novelty 5.0 of 10

    A generalised-geometric formulation presents ten-dimensional N=1 supergravity with only five quartic fermion terms in the action and supersymmetry transformations.

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