Abstract
We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in \( \mathcal{N} = 2 \) superspace and covers \( \mathcal{N} = 2,3 \) supersymmetric CFT’s, the \( \mathcal{N} = 6 \) ABJM and the \( \mathcal{N} = 8 \) BLG models. In the limit where the positions of adjacent operators become light-like, we find that the one-loop n-point correlator divided by its tree level expression coincides with a light-like n-polygon Wilson loop. Remarkably, the result can be simply expressed as a linear combination of five dimensional two-mass easy boxes. We manage to evaluate the integrals analytically and find a vanishing result, in agreement with previous findings for Wilson loops.
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Bianchi, M.S., Leoni, M., Mauri, A. et al. From correlators to Wilson loops in Chern-Simons matter theories. J. High Energ. Phys. 2011, 118 (2011). https://doi.org/10.1007/JHEP06(2011)118
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DOI: https://doi.org/10.1007/JHEP06(2011)118