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One loop amplitudes in ABJM

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Abstract

For three dimensional \( \mathcal{N} = 6 \) superconformal field theories we compute oneloop scattering amplitudes for any number of external particles. We focus on a particular subsector of \( \mathcal{N} = 2 \) invariant superamplitudes for which the ordinary perturbative evaluation becomes very easy. The result we obtain is in general non-vanishing. For six external particles our findings are sufficient for determining the complete expression of the \( \mathcal{N} = 6 \) superamplitude at this order. We discuss the symmetries of the result and its anomalous variation under superconformal generators.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Oviedo, Avda. Calvo Sotelo, 18, 33007, Oviedo, Spain

    Marco S. Bianchi

  2. Dipartimento di Fisica, Università degli studi di Milano-Bicocca, and INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy

    Matias Leoni & Silvia Penati

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

    Andrea Mauri

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

    Andrea Mauri & Alberto Santambrogio

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  1. Marco S. Bianchi
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  2. Matias Leoni
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  3. Andrea Mauri
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  4. Silvia Penati
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  5. Alberto Santambrogio
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Correspondence to Marco S. Bianchi.

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ArXiv ePrint: 1204.4407

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Bianchi, M.S., Leoni, M., Mauri, A. et al. One loop amplitudes in ABJM. J. High Energ. Phys. 2012, 29 (2012). https://doi.org/10.1007/JHEP07(2012)029

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