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On 10D SYM Superamplitudes

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Abstract

Recently the spinor helicity and (two types of) superamplitude formalisms for 11D supergravity and 10D supersymmetric Yang–Mills theories were proposed in [1–3]. In this contribution we describe briefly the basic properties of these superamplitudes for the simpler case of 10D SYM.

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Notes

  1. Hence also the name of Lorentz harmonics [16, 12, 13].

  2. This is the Lorentz rotation from a special coordinate system in which \({{k}_{{(a)i}}} = \rho _{i}^{\# }(1,0,...,0, - 1)\) to an arbitrary coordinate system under consideration.

  3. This helicity spinor–Lorentz harmonic correspondence was also noticed in [18] in a context of five dimensional field theories.

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ACKNOWLEDGMENTS

This work has been supported in part by the Spanish Ministry of Economy, Industry and Competitiveness (MINECO) grants FPA 2015-66793-P, which is partially financed with FEDER/ERDF fund of EU, by the Basque Government Grant IT-979-16, and the Basque Country University program UFI 11/55. The author is grateful to Theoretical Department of CERN (Geneva, Switzerland), to the Galileo Galilei Institute for Theoretical Physics and the INFN (Florence, Italy), as well as to the the organizers of the GGI workshop ”Supergravity: what next?”, and especially to Antoine Van Proeyen, for the hospitality and partial support of his visits at certain stages of this work. Many thanks to the organizers of SQS 2017 conference, and especially to Zhenya Ivanov and Sergei Fedoruk, for their kind hospitality in Dubna.

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  1. Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080, Bilbao, Spain

    I. Bandos

  2. IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain

    I. Bandos

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Bandos, I. On 10D SYM Superamplitudes. Phys. Part. Nuclei 49, 829–834 (2018). https://doi.org/10.1134/S1063779618050040

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