Celestial superamplitudes

Andreas Brandhuber (Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom) ; Graham R. Brown (Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom) ; Joshua Gowdy (Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom) ; Bill Spence (Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom) ; Gabriele Travaglini (Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom)

We study celestial amplitudes in (super) Yang-Mills theory using a parametrization of the spinor helicity variables where their overall phase is not fixed by the little group action. In this approach the spin constraint hh¯=J for celestial conformal primaries emerges naturally from a new Mellin transform, and the action of conformal transformations on celestial amplitudes is derived. Applying this approach to N=4 super Yang-Mills, we show how the appropriate definition of on-shell superspace coordinates leads naturally to a formulation of chiral celestial superamplitudes and a representation of the generators of the four-dimensional superconformal algebra on the celestial sphere, which by construction annihilate all tree-level celestial superamplitudes.

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  "abstracts": [
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      "source": "APS", 
      "value": "We study celestial amplitudes in (super) Yang-Mills theory using a parametrization of the spinor helicity variables where their overall phase is not fixed by the little group action. In this approach the spin constraint <math><mi>h</mi><mo>\u2212</mo><mover><mi>h</mi><mo>\u00af</mo></mover><mo>=</mo><mi>J</mi></math> for celestial conformal primaries emerges naturally from a new Mellin transform, and the action of conformal transformations on celestial amplitudes is derived. Applying this approach to <math><mi>N</mi><mo>=</mo><mn>4</mn></math> super Yang-Mills, we show how the appropriate definition of on-shell superspace coordinates leads naturally to a formulation of chiral celestial superamplitudes and a representation of the generators of the four-dimensional superconformal algebra on the celestial sphere, which by construction annihilate all tree-level celestial superamplitudes."
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Published on:
31 August 2021
Publisher:
APS
Published in:
Physical Review D , Volume 104 (2021)
Issue 4
DOI:
https://doi.org/10.1103/PhysRevD.104.045016
arXiv:
2105.10263
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: