Holographic Uniformization

Michael T. Anderson; Christopher Beem; Nikolay Bobev; Leonardo Rastelli

doi:10.1007/s00220-013-1675-4

Holographic Uniformization

Michael T. Anderson
, Christopher Beem
, Nikolay Bobev
, Leonardo Rastelli

Institute for Theoretical Physics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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 ultraviolet and the constant-curvature metric in the infrared. We confirm this conjecture with a rigorous global existence proof.

Original language	English
Pages (from-to)	429-471
Number of pages	43
Journal	Communications in Mathematical Physics
Volume	318
Issue number	2
DOIs	https://doi.org/10.1007/s00220-013-1675-4
State	Published - Mar 2013

Access to Document

10.1007/s00220-013-1675-4

Cite this

@article{d07ee8e1944f405d8478d2df54112791,

title = "Holographic Uniformization",

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 ultraviolet and the constant-curvature metric in the infrared. We confirm this conjecture with a rigorous global existence proof.",

author = "Anderson, \{Michael T.\} and Christopher Beem and Nikolay Bobev and Leonardo Rastelli",

year = "2013",

month = mar,

doi = "10.1007/s00220-013-1675-4",

language = "English",

volume = "318",

pages = "429--471",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

number = "2",

}

TY - JOUR

T1 - Holographic Uniformization

AU - Anderson, Michael T.

AU - Beem, Christopher

AU - Bobev, Nikolay

AU - Rastelli, Leonardo

PY - 2013/3

Y1 - 2013/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84874191781

U2 - 10.1007/s00220-013-1675-4

DO - 10.1007/s00220-013-1675-4

M3 - Article

AN - SCOPUS:84874191781

SN - 0010-3616

VL - 318

SP - 429

EP - 471

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Holographic Uniformization

Abstract

Access to Document

Other files and links

Fingerprint

Cite this