Holographic Uniformization
High Energy Physics - Theory
2015-05-12 v1 Analysis of PDEs
Differential Geometry
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.
Cite
@article{arxiv.1109.3724,
title = {Holographic Uniformization},
author = {Michael T. Anderson and Christopher Beem and Nikolay Bobev and Leonardo Rastelli},
journal= {arXiv preprint arXiv:1109.3724},
year = {2015}
}
Comments
52 pages, 3 figures