ABJ Theory in the Higher Spin Limit
Abstract
We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the N=6 Vasiliev higher spin theory on AdS_4 and the N=6 Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) x U(N+M). Building on our earlier results on the ABJ partition function, we develop the systematic 1/M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the N=6 Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.
Cite
@article{arxiv.1504.00365,
title = {ABJ Theory in the Higher Spin Limit},
author = {Shinji Hirano and Masazumi Honda and Kazumi Okuyama and Masaki Shigemori},
journal= {arXiv preprint arXiv:1504.00365},
year = {2016}
}
Comments
35 pages, 1 figure. v3: A sign error and the choice of boundary conditions in the higher spin one-loop calculation have been corrected. Accordingly, slight changes have been made to the details of the conclusions, improving the claim