5-dim Superconformal Index with Enhanced En Global Symmetry
Abstract
The five-dimensional supersymmetric gauge theory with Sp(N) gauge group and SO(2N_f) flavor symmetry describes the physics on N D4-branes with D8-branes on top of a single O8 orientifold plane in Type I' theory. This theory is known to be superconformal at the strong coupling limit with the enhanced global symmetry for . In this work we calculate the superconformal index on for the Sp(1) gauge theory by the localization method and confirm such enhancement of the global symmetry at the superconformal limit for to a few leading orders in the chemical potential. Both perturbative and (anti)instanton contributions are present in this calculation. For cases some issues related the pole structure of the instanton calculation could not be resolved and here we could provide only some suggestive answer for the leading contributions to the index. For the Sp(N) case, similar issues related to the pole structure appear.
Keywords
Cite
@article{arxiv.1206.6781,
title = {5-dim Superconformal Index with Enhanced En Global Symmetry},
author = {Hee-Cheol Kim and Sung-Soo Kim and Kimyeong Lee},
journal= {arXiv preprint arXiv:1206.6781},
year = {2012}
}
Comments
70 pages, references added, published version