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Holographic Uniformization |
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| Authors: | Michael T. Anderson Christopher Beem Nikolay Bobev Leonardo Rastelli |
| Affiliation: | 1. Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794-3651, USA 2. Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY, 11794-3636, USA 3. C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794-3840, USA |
| 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 ultraviolet and the constant-curvature metric in the infrared. We confirm this conjecture with a rigorous global existence proof. |
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