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arXiv · 1109.3724

Holographic Uniformization

Michael T. Anderson·Christopher Beem·Nikolay Bobev·Leonardo Rastelli
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Abstract

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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Michael T. Anderson, Christopher Beem, Nikolay Bobev, Leonardo Rastelli. 2011-09-16. Holographic Uniformization. https://doi.org/10.1007/s00220-013-1675-4

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