Instanton Counting and Dielectric Branes
High Energy Physics - Theory
2011-04-14 v3
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.
Cite
@article{arxiv.0808.3493,
title = {Instanton Counting and Dielectric Branes},
author = {So Matsuura},
journal= {arXiv preprint arXiv:0808.3493},
year = {2011}
}
Comments
27 pages, 6 figures, LaTeX2e, references added, typos corrected, Accepted for publication in JHEP