Holographic uniformization

DOI10.1007/S00220-013-1675-4zbMATH Open1329.81299arXiv1109.3724OpenAlexW3037356159MaRDI QIDQ1942292

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Publication date: 18 March 2013

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1109.3724

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