Abstract
We revisit planar resolvents of matrix models corresponding to \( \mathcal{N}\ \ge 3 \) Chern-Simons-matter theories with the gauge groups of the form U(N 1) × U(N 2) coupled to any number of bi-fundamental hypermultiplets. We find that the derivative of a suitably defined planar resolvent can be written explicitly. From this resolvent, we derive the explicit formula for (a linear combination of) the vevs of BPS Wilson loops. As a non-trivial check, we show that the formula reproduces the perturbative expansion of the vevs of the BPS Wilson loops.
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Suyama, T. Notes on planar resolvents of Chern-Simons-matter matrix models. J. High Energ. Phys. 2016, 49 (2016). https://doi.org/10.1007/JHEP11(2016)049
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DOI: https://doi.org/10.1007/JHEP11(2016)049