English

5-dim Superconformal Index with Enhanced En Global Symmetry

High Energy Physics - Theory 2012-11-02 v2

Abstract

The five-dimensional N=1\mathcal{N}=1 supersymmetric gauge theory with Sp(N) gauge group and SO(2N_f) flavor symmetry describes the physics on N D4-branes with NfN_f 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 ENf+1E_{N_f+1} for Nf7N_f\le 7. In this work we calculate the superconformal index on S1×S4S^1\times S^4 for the Sp(1) gauge theory by the localization method and confirm such enhancement of the global symmetry at the superconformal limit for Nf5N_f\le 5 to a few leading orders in the chemical potential. Both perturbative and (anti)instanton contributions are present in this calculation. For Nf=6,7N_f=6,7 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