On Large N Solution of Gaiotto-Tomasiello Theory
High Energy Physics - Theory
2010-11-11 v3
Abstract
The planar solution is discussed for an N=3 Chern-Simons-matter theory constructed recently by Gaiotto and Tomasiello. The planar resolvent is obtained in terms of contour integrals. If the sum of two Chern-Simons levels k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows exponentially with the total 't Hooft coupling, as is expected from AdS/CFT correspondence. If one of the Chern-Simons levels, say k_2, is taken to infinity, for which one of the 't Hooft coupling constants becomes zero, then the exponential behavior disappears.
Keywords
Cite
@article{arxiv.1008.3950,
title = {On Large N Solution of Gaiotto-Tomasiello Theory},
author = {Takao Suyama},
journal= {arXiv preprint arXiv:1008.3950},
year = {2010}
}
Comments
25 pages, (v2) references added, (v3) references added, typos corrected, published version