Holographic Uniformization
arXiv:1109.3724 · doi:10.1007/s00220-013-1675-4
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.
52 pages, 3 figures
References in corpus (6)
Cited by in corpus (26)
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