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Generalized geometry, T-duality, and renormalization group flow (1310.5121v1)
Published 18 Oct 2013 in math.DG, math-ph, and math.MP
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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