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arXiv · 1103.3675

From Correlators to Wilson Loops in Chern-Simons Matter Theories

Marco S. Bianchi·Matias Leoni·Andrea Mauri·Silvia Penati·CarloAlberto Ratti·Alberto Santambrogio
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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 N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the 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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Marco S. Bianchi, Matias Leoni, Andrea Mauri, Silvia Penati, CarloAlberto Ratti, Alberto Santambrogio. 2011-03-18. From Correlators to Wilson Loops in Chern-Simons Matter Theories. https://doi.org/10.1007/jhep06(2011)118

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