Communications in Mathematical Physics

, Volume 318, Issue 2, pp 429–471 | Cite as

Holographic Uniformization

  • Michael T. Anderson
  • Christopher BeemEmail author
  • Nikolay Bobev
  • Leonardo Rastelli


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.


Modulus Space Riemann Surface Renormalization Group Conformal Factor Consistent Truncation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Michael T. Anderson
    • 1
  • Christopher Beem
    • 2
    Email author
  • Nikolay Bobev
    • 2
  • Leonardo Rastelli
    • 3
  1. 1.Department of MathematicsStony Brook UniversityStony BrookUSA
  2. 2.Simons Center for Geometry and PhysicsStony Brook UniversityStony BrookUSA
  3. 3.C. N. Yang Institute for Theoretical PhysicsStony Brook UniversityStony BrookUSA

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