Generalized geometry, T-duality, and renormalization group flow

2013/10/18 by Streets, Jeffrey · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1310.5121

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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• Gradient estimates and parabolic frequency monotonicity for positive solutions of the heat equation under generalized Ricci flow

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