期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 318, 期 2, 页码 429-471出版社
SPRINGER
DOI: 10.1007/s00220-013-1675-4
关键词
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资金
- Defense Advanced Research Projects Agency [HR0011-09-1-0015]
- National Science Foundation [PHY05-51164, 1066293, DMS-0905159, PHY-0969739]
- Department of Energy [DE-FG02-92ER-40697]
- Direct For Mathematical & Physical Scien
- Division Of Physics [0969919] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0905159] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1205947] Funding Source: National Science Foundation
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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