Holographic Uniformization

Details Holographic Uniformization Holographic Uniformization

2011-09-16

arxiv.org/abs/1109.3724v1

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, 3 figures

Scientific paper

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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