English

Twisting Twistor space

High Energy Physics - Theory 2026-01-29 v1

Abstract

We construct twisted noncommutative gauge theories on twistor space and show that they are equivalent to four-dimensional twist-noncommutative gauge theories. In particular, we study twists of the Poincar\'e algebra. We explain how such a twist leads to twisted noncommutative twistor space and how to construct noncommutative versions of BF theory and holomorphic Chern-Simons theory on noncommutative supertwistor space. We show how those theories are equivalent to noncommutative versions of Yang-Mills theory and supersymmetric Yang-Mills theory, respectively.

Keywords

Cite

@article{arxiv.2601.19983,
  title  = {Twisting Twistor space},
  author = {Tim Meier and Eggon Viana},
  journal= {arXiv preprint arXiv:2601.19983},
  year   = {2026}
}

Comments

44 pages, no figures