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From correlators to Wilson loops in Chern-Simons matter theories

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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 \( \mathcal{N} = 2 \) 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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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy

    Marco S. Bianchi, Silvia Penati & CarloAlberto Ratti

  2. INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy

    Marco S. Bianchi, Silvia Penati & CarloAlberto Ratti

  3. Dipartimento di Fisica dell’Università degli studi di Milano, via Celoria 16, I-20133, Milano, Italy

    Matias Leoni & Andrea Mauri

  4. INFN, Sezione di Milano, via Celoria 16, I-20133, Milano, Italy

    Matias Leoni, Andrea Mauri & Alberto Santambrogio

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  1. Marco S. Bianchi
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  2. Matias Leoni
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Correspondence to Marco S. Bianchi.

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ArXiv ePrint: 1103.3675

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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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