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arXiv · 1904.11728

Linear Chern-Simons-matter Theories in the Planar Limit

Takao Suyama
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Abstract

We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar limit. The matter content of the theory is depicted by a linear-shape diagram with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS Wilson loops are given in terms of a single 1-form on $\mathbb{CP}^1$ which can be determined explicitly for all linear theories. The analytic structure of the vevs of the Wilson loops is investigated in detail for $n=1$ and $n=2$. The addition of fundamental matters is also discussed.

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Takao Suyama. 2019-04-26. Linear Chern-Simons-matter Theories in the Planar Limit. https://doi.org/10.1007/jhep08(2019)083

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