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arxiv: 0902.2061 · v3 · pith:BUCSOABFnew · submitted 2009-02-12 · ✦ hep-th · math-ph· math.DG· math.MP

Quantum Fluctuations and Geometry: From Graph Counting to Ricci Flow

classification ✦ hep-th math-phmath.DGmath.MP
keywords flowquantumricciconnectioncountingdealingdiscussexplore
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We discuss in rather general terms quantum field theories dealing with spaces of maps between Riemannian manifolds. In particular we explore the well--known connection between the renormalization group flow for non--linear sigma models and the Ricci flow.

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