Instanton Counting and Dielectric Branes

Abstract

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.

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

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Cited by in corpus (5)

• Seiberg-Witten theory and matrix models
• Bands and gaps in Nekrasov partition function
• N=2 superconformal blocks and instanton partition functions
• Angular Momentum and Gravimagnetization of the $\mathcal{N}=2$ SYM vacuum
• On asymmetric brane creation