On Large N Solution of Gaiotto-Tomasiello Theory

Details On Large N Solution of Gaiotto-Tomasiello Theory On Large N Solution of Gaiotto-Tomasiello Theory

2010-08-24

arxiv.org/abs/1008.3950v3

JHEP 1010:101,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, (v2) references added, (v3) references added, typos corrected, published version

Scientific paper

10.1007/JHEP10(2010)101

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.

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