English

Identification of Bulk coupling constant in Higher Spin/ABJ correspondence

High Energy Physics - Theory 2015-09-30 v3

Abstract

We study the conjectured duality between the N=6\mathcal{N}=6 Vasiliev higher spin theory on AdS4AdS_4 and 3d N=6\mathcal{N}=6 superconformal Chern-Simons matter theory known as the ABJ theory. We discuss how the parameters in the ABJ theory should be related to the bulk coupling constant in the Vasiliev theory. For this purpose, we compute two-point function of stress tensor in the ABJ theory by using supersymmmetry localization. Our result justifies the proposal by arXiv:1504.00365 and determine the unknown coefficient in the previous work.

Keywords

Cite

@article{arxiv.1506.00781,
  title  = {Identification of Bulk coupling constant in Higher Spin/ABJ correspondence},
  author = {Masazumi Honda},
  journal= {arXiv preprint arXiv:1506.00781},
  year   = {2015}
}

Comments

10 pages, v3: typos corrected