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Generalized geometry, T-duality, and renormalization group flow

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arxiv 1310.5121 v1 pith:FMICWIFL submitted 2013-10-18 math.DG math-phmath.MP

classification math.DGmath-phmath.MP
keywords flowgrouprenormalizationfieldgeneralizedgeometrynaturalsense
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abstract

We interpret the physical $B$-field renormalization group flow in the language of Courant algebroids, clarifying the sense in which this flow is the natural "Ricci flow" for generalized geometry. Next we show that the $B$-field renormalization group flow preserves T-duality in a natural sense. As corollaries we obtain new long time existence results for the $B$-field renormalization group flow.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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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