Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three
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🧮 math.AP
math.DG
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existenceflowgroupmetricorderrenormalizationsecondshort-time
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Given a compact three-manifold together with a Riemannian metric, we prove the short-time existence of a solution to the renormalization group flow, truncated at the second order term, under a suitable hypothesis on the sectional curvature of the initial metric.
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