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From Correlators to Wilson Loops in Chern-Simons Matter Theories

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arxiv 1103.3675 v1 pith:VMI3VZEP submitted 2011-03-18 hep-th

Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio This is my paper
classification hep-th
keywords wilsonchern-simonsdimensionalfindlight-likeloopsmattern-point
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Loops and legs: ABJM amplitudes from $f$-graphs

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.

  2. A Hidden Permutation Symmetry of Squared Amplitudes in ABJM Theory

    hep-th 2025-08 conditional novelty 7.0 of 10

    Squared ABJM amplitude integrands with fixed n+L are unified in a permutation-symmetric generating function, and a bipartite f-graph bootstrap yields new N=10 tree and loop results.

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