Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-20
JHEP 0701:017,2007
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 7 figures; a reference added
Scientific paper
10.1088/1126-6708/2007/01/017
We explore the correspondence between Yang-Mills instantons and algebraic curves. The curve is defined by Higgs zero locus of dyonic instantons in 1+4 dimensional Yang-Mills-Higgs theory, and it is identified in string theory with the cross-section of supertubes connecting parallel D4-branes. To present evidence for the identification, we show that with total charges fixed, the supertube angular momentum computed from the Higgs zero locus is maximized when the locus is circular, which has been proven for the cross-section of the supertubes. This leads to a consistent dictionary between the charges in two pictures. We also consider a T-dual version of the story, identifying the profiles of the wavy instanton strings with those of the supercurves/D-helices. Based on this observation, we then argue a novel correspondence between ADHM data of instantons and algebraic curves defining the locus. The degree of the curve is related to the instanton number, and splitting property of the curve is physically manifested by well-separated instantons.
Chen Heng-Yu
Eto Minoru
Hashimoto Katsumi
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