English

Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills

High Energy Physics - Theory 2017-10-25 v2

Abstract

We demonstrate that the planar real-β\beta-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct which allows us to lift the apparent N=1\mathcal{N}=1 supersymmetry first to the full N=4\mathcal{N}=4 symmetry of the parent N=4\mathcal{N} = 4 SYM theory, and subsequently to its Yangian.

Keywords

Cite

@article{arxiv.1707.04128,
  title  = {Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills},
  author = {Aleksander Garus},
  journal= {arXiv preprint arXiv:1707.04128},
  year   = {2017}
}

Comments

6 pages + Appendices, references updated