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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Twisting twistor space

  1. 1Universidade de Santiago de Compostela
  2. 2ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, UNESP — Univ. Estadual Paulista
  3. 3Durham University

Abstract

A bstract : 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 Poincaré 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.

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BibTeX
@article{meier2026twisting,
  title = {{Twisting twistor space}},
  author = {Tim Meier and Eggon Viana},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)130},
  url = {https://link.springer.com/10.1007/JHEP10(2026)130},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Twisting twistor space
AU  - Tim Meier
AU  - Eggon Viana
PY  - 2026
DA  - 2026/10/12
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)130
UR  - https://link.springer.com/10.1007/JHEP10(2026)130
AB  - A bstract : 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 Poincaré 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.
SN  - 1029-8479
ER  -