Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric

Hong, MC (2001) Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric. Annals of Global Analysis And Geometry, 20 1: 23-46. doi:10.1023/A:1010688223177


Author Hong, MC
Title Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric
Journal name Annals of Global Analysis And Geometry   Check publisher's open access policy
ISSN 0232-704X
Publication date 2001-01-01
Sub-type Article (original research)
DOI 10.1023/A:1010688223177
Volume 20
Issue 1
Start page 23
End page 46
Total pages 24
Place of publication Dordrecht
Publisher Kluwer Academic Publ
Language eng
Abstract For a parameter lambda > 0, we study a type of vortex equations, which generalize the well-known Hermitian-Einstein equation, for a connection A and a section phi of a holomorphic vector bundle E over a Kahler manifold X. We establish a global existence of smooth solutions to heat flow for a self-dual Yang-Mills-Higgs field on E. Assuming the lambda -stability of (E, phi), we prove the existence of the Hermitian Yang-Mills-Higgs metric on the holomorphic bundle E by studying the limiting behaviour of the gauge flow.
Keyword Mathematics
Heat Flow
Hermitian Metric
Yang-mills-higgs Field
Vector-bundles
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 22:24:17 EST