Aspects of Open-Closed Duality in a Background B-Field II

Details Aspects of Open-Closed Duality in a Background B-Field II Aspects of Open-Closed Duality in a Background B-Field II

2005-07-31

arxiv.org/abs/hep-th/0508004v3

JHEP 0511:002,2005

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 1 figure, references added, typos corrected

Scientific paper

10.1088/1126-6708/2005/11/002

It was shown in [hep-th/0503009], in the context of bosonic theory that the IR singular terms that arise as a result of integrating out high momentum modes in nonplanar diagrams of noncommutative gauge theory can be recovered from low lying tree-level closed string exchanges. This follows as a natural consequence of world-sheet open-closed string duality. Here using the same setup we study the phenomenon for noncommutative ${\cal N}=2$ gauge theory realised on a $D_3$ fractional brane localised at the fixed point of $C^2/Z_2$. The IR singularities from the massless closed string exchanges are exactly equal to those coming from one-loop gauge theory. This is as a result of cancellation of all contributions from the massive modes.

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