Instanton Counting and Dielectric Branes

Details Instanton Counting and Dielectric Branes Instanton Counting and Dielectric Branes

2008-08-26

arxiv.org/abs/0808.3493v3

JHEP 0809:083,2008

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 6 figures, LaTeX2e, references added, typos corrected, Accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2008/09/083

We consider the Hanany-Witten type brane configuration in a background of RR 4-form field strength and examine the behavior of Euclidean D0-branes propagating between two NS5-branes. We evaluate the partition function of the D0-branes and show that it coincides with the Nekrasov partition function of instantons for four-dimensional N=2 supersymmetric Yang-Mills theory. In this analysis, the Myers effect plays a crucial role. We apply the same method to the brane configuration realizing four-dimensional N=2 theory with hypermultiplets in the fundamental representation and reproduce the corresponding Nekrasov partition function.

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