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arxiv: 1109.3724 · v1 · pith:GWONPFHNnew · submitted 2011-09-16 · ✦ hep-th · math.AP· math.DG

Holographic Uniformization

Michael T. Anderson , Christopher Beem , Nikolay Bobev , Leonardo Rastelli This is my paper
classification ✦ hep-th math.APmath.DG
keywords existencemetricsurfacearbitrarybranesconfirmconjectureconstant-curvature
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We derive and study supergravity BPS flow equations for M5 or D3 branes wrapping a Riemann surface. They take the form of novel geometric flows intrinsically defined on the surface. Their dual field-theoretic interpretation suggests the existence of solutions interpolating between an arbitrary metric in the UV and the constant-curvature metric in the IR. We confirm this conjecture with a rigorous global existence proof.

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