Generalized geometry, T-duality, and renormalization group flow

Jeffrey Streets

Generalized geometry, T-duality, and renormalization group flow

Differential Geometry 2013-10-21 v1 Mathematical Physics math.MP

Authors: Jeffrey Streets

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.

Keywords

geodesic flow geometric flows

Cite

@article{arxiv.1310.5121,
  title  = {Generalized geometry, T-duality, and renormalization group flow},
  author = {Jeffrey Streets},
  journal= {arXiv preprint arXiv:1310.5121},
  year   = {2013}
}

Comments

22 pages

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